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Finding the Fourth Proportional to 5,767.52, 7,948.08 and 4,193.12

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Solution

The fourth proportional to 5,767.52, 7,948.08 and 4,193.12 is: 5,778.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.52 : 7,948.08 = 4,193.12 : x
  2. Step 2: Convert to fraction form
    5,767.52/7,948.08 = 4,193.12/x
  3. Step 3: Cross multiply
    5,767.52x = 7,948.08 × 4,193.12
  4. Step 4: Simplify right side
    5,767.52x = 33,327,253.21
  5. Step 5: Solve for x
    x = 33,327,253.21/5,767.52
  6. Step 6: Final answer
    x = 5,778.44

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.