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Finding the Fourth Proportional to 3,542.80, 5,314.74 and 1,077.52

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Solution

The fourth proportional to 3,542.80, 5,314.74 and 1,077.52 is: 1,616.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.80 : 5,314.74 = 1,077.52 : x
  2. Step 2: Convert to fraction form
    3,542.80/5,314.74 = 1,077.52/x
  3. Step 3: Cross multiply
    3,542.80x = 5,314.74 × 1,077.52
  4. Step 4: Simplify right side
    3,542.80x = 5,726,738.64
  5. Step 5: Solve for x
    x = 5,726,738.64/3,542.80
  6. Step 6: Final answer
    x = 1,616.44

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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.