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Finding the Fourth Proportional to 5,387.92, 7,440 and 3,974.06

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Solution

The fourth proportional to 5,387.92, 7,440 and 3,974.06 is: 5,487.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387.92 : 7,440 = 3,974.06 : x
  2. Step 2: Convert to fraction form
    5,387.92/7,440 = 3,974.06/x
  3. Step 3: Cross multiply
    5,387.92x = 7,440 × 3,974.06
  4. Step 4: Simplify right side
    5,387.92x = 29,566,969.20
  5. Step 5: Solve for x
    x = 29,566,969.20/5,387.92
  6. Step 6: Final answer
    x = 5,487.65

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