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Finding the Fourth Proportional to 3,426.71, 5,140.08 and 961.55

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Solution

The fourth proportional to 3,426.71, 5,140.08 and 961.55 is: 1,442.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.71 : 5,140.08 = 961.55 : x
  2. Step 2: Convert to fraction form
    3,426.71/5,140.08 = 961.55/x
  3. Step 3: Cross multiply
    3,426.71x = 5,140.08 × 961.55
  4. Step 4: Simplify right side
    3,426.71x = 4,942,443.92
  5. Step 5: Solve for x
    x = 4,942,443.92/3,426.71
  6. Step 6: Final answer
    x = 1,442.33

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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.