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Finding the Fourth Proportional to 3,543.17, 5,315.33 and 1,077.41

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Solution

The fourth proportional to 3,543.17, 5,315.33 and 1,077.41 is: 1,616.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.17 : 5,315.33 = 1,077.41 : x
  2. Step 2: Convert to fraction form
    3,543.17/5,315.33 = 1,077.41/x
  3. Step 3: Cross multiply
    3,543.17x = 5,315.33 × 1,077.41
  4. Step 4: Simplify right side
    3,543.17x = 5,726,789.70
  5. Step 5: Solve for x
    x = 5,726,789.70/3,543.17
  6. Step 6: Final answer
    x = 1,616.29

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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.