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Finding the Fourth Proportional to 5,052.72, 6,972.28 and 3,727.16

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Solution

The fourth proportional to 5,052.72, 6,972.28 and 3,727.16 is: 5,143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.72 : 6,972.28 = 3,727.16 : x
  2. Step 2: Convert to fraction form
    5,052.72/6,972.28 = 3,727.16/x
  3. Step 3: Cross multiply
    5,052.72x = 6,972.28 × 3,727.16
  4. Step 4: Simplify right side
    5,052.72x = 25,986,803.12
  5. Step 5: Solve for x
    x = 25,986,803.12/5,052.72
  6. Step 6: Final answer
    x = 5,143.13

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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.