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Finding the Fourth Proportional to 3,542.94, 5,314.60 and 1,077.57

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Solution

The fourth proportional to 3,542.94, 5,314.60 and 1,077.57 is: 1,616.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.94 : 5,314.60 = 1,077.57 : x
  2. Step 2: Convert to fraction form
    3,542.94/5,314.60 = 1,077.57/x
  3. Step 3: Cross multiply
    3,542.94x = 5,314.60 × 1,077.57
  4. Step 4: Simplify right side
    3,542.94x = 5,726,850.83
  5. Step 5: Solve for x
    x = 5,726,850.83/3,542.94
  6. Step 6: Final answer
    x = 1,616.41

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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.