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Finding the Fourth Proportional to 4,332.67, 6,487.25 and 3,213.92

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Solution

The fourth proportional to 4,332.67, 6,487.25 and 3,213.92 is: 4,812.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.67 : 6,487.25 = 3,213.92 : x
  2. Step 2: Convert to fraction form
    4,332.67/6,487.25 = 3,213.92/x
  3. Step 3: Cross multiply
    4,332.67x = 6,487.25 × 3,213.92
  4. Step 4: Simplify right side
    4,332.67x = 20,849,502.52
  5. Step 5: Solve for x
    x = 20,849,502.52/4,332.67
  6. Step 6: Final answer
    x = 4,812.16

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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.