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Finding the Fourth Proportional to 3,793.02, 5,689.52 and 1,196.16

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Solution

The fourth proportional to 3,793.02, 5,689.52 and 1,196.16 is: 1,794.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.02 : 5,689.52 = 1,196.16 : x
  2. Step 2: Convert to fraction form
    3,793.02/5,689.52 = 1,196.16/x
  3. Step 3: Cross multiply
    3,793.02x = 5,689.52 × 1,196.16
  4. Step 4: Simplify right side
    3,793.02x = 6,805,560.14
  5. Step 5: Solve for x
    x = 6,805,560.14/3,793.02
  6. Step 6: Final answer
    x = 1,794.23

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.