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Finding the Fourth Proportional to 3,719.60, 5,142.96 and 3,252.74

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Solution

The fourth proportional to 3,719.60, 5,142.96 and 3,252.74 is: 4,497.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719.60 : 5,142.96 = 3,252.74 : x
  2. Step 2: Convert to fraction form
    3,719.60/5,142.96 = 3,252.74/x
  3. Step 3: Cross multiply
    3,719.60x = 5,142.96 × 3,252.74
  4. Step 4: Simplify right side
    3,719.60x = 16,728,711.71
  5. Step 5: Solve for x
    x = 16,728,711.71/3,719.60
  6. Step 6: Final answer
    x = 4,497.45

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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.