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Finding the Fourth Proportional to 3,502.74, 5,251.32 and 2,332.68

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Solution

The fourth proportional to 3,502.74, 5,251.32 and 2,332.68 is: 3,497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.74 : 5,251.32 = 2,332.68 : x
  2. Step 2: Convert to fraction form
    3,502.74/5,251.32 = 2,332.68/x
  3. Step 3: Cross multiply
    3,502.74x = 5,251.32 × 2,332.68
  4. Step 4: Simplify right side
    3,502.74x = 12,249,649.14
  5. Step 5: Solve for x
    x = 12,249,649.14/3,502.74
  6. Step 6: Final answer
    x = 3,497.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.