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Finding the Fourth Proportional to 3,728.50, 5,143.84 and 2,402.97

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Solution

The fourth proportional to 3,728.50, 5,143.84 and 2,402.97 is: 3,315.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.50 : 5,143.84 = 2,402.97 : x
  2. Step 2: Convert to fraction form
    3,728.50/5,143.84 = 2,402.97/x
  3. Step 3: Cross multiply
    3,728.50x = 5,143.84 × 2,402.97
  4. Step 4: Simplify right side
    3,728.50x = 12,360,493.20
  5. Step 5: Solve for x
    x = 12,360,493.20/3,728.50
  6. Step 6: Final answer
    x = 3,315.14

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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.