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Finding the Fourth Proportional to 3,532.97, 5,295.31 and 1,451.95

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Solution

The fourth proportional to 3,532.97, 5,295.31 and 1,451.95 is: 2,176.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.97 : 5,295.31 = 1,451.95 : x
  2. Step 2: Convert to fraction form
    3,532.97/5,295.31 = 1,451.95/x
  3. Step 3: Cross multiply
    3,532.97x = 5,295.31 × 1,451.95
  4. Step 4: Simplify right side
    3,532.97x = 7,688,508.49
  5. Step 5: Solve for x
    x = 7,688,508.49/3,532.97
  6. Step 6: Final answer
    x = 2,176.22

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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.