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Finding the Fourth Proportional to 3,844.59, 5,767.02 and 3,232.23

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Solution

The fourth proportional to 3,844.59, 5,767.02 and 3,232.23 is: 4,848.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.59 : 5,767.02 = 3,232.23 : x
  2. Step 2: Convert to fraction form
    3,844.59/5,767.02 = 3,232.23/x
  3. Step 3: Cross multiply
    3,844.59x = 5,767.02 × 3,232.23
  4. Step 4: Simplify right side
    3,844.59x = 18,640,335.05
  5. Step 5: Solve for x
    x = 18,640,335.05/3,844.59
  6. Step 6: Final answer
    x = 4,848.46

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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.