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Finding the Fourth Proportional to 3,760.47, 5,186.16 and 2,432.88

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Solution

The fourth proportional to 3,760.47, 5,186.16 and 2,432.88 is: 3,355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.47 : 5,186.16 = 2,432.88 : x
  2. Step 2: Convert to fraction form
    3,760.47/5,186.16 = 2,432.88/x
  3. Step 3: Cross multiply
    3,760.47x = 5,186.16 × 2,432.88
  4. Step 4: Simplify right side
    3,760.47x = 12,617,304.94
  5. Step 5: Solve for x
    x = 12,617,304.94/3,760.47
  6. Step 6: Final answer
    x = 3,355.25

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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.