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Finding the Fourth Proportional to 5,767.92, 7,948.68 and 3,996.24

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Solution

The fourth proportional to 5,767.92, 7,948.68 and 3,996.24 is: 5,507.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.92 : 7,948.68 = 3,996.24 : x
  2. Step 2: Convert to fraction form
    5,767.92/7,948.68 = 3,996.24/x
  3. Step 3: Cross multiply
    5,767.92x = 7,948.68 × 3,996.24
  4. Step 4: Simplify right side
    5,767.92x = 31,764,832.96
  5. Step 5: Solve for x
    x = 31,764,832.96/5,767.92
  6. Step 6: Final answer
    x = 5,507.16

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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.