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Finding the Fourth Proportional to 3,542.37, 5,314.31 and 1,077.37

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Solution

The fourth proportional to 3,542.37, 5,314.31 and 1,077.37 is: 1,616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.37 : 5,314.31 = 1,077.37 : x
  2. Step 2: Convert to fraction form
    3,542.37/5,314.31 = 1,077.37/x
  3. Step 3: Cross multiply
    3,542.37x = 5,314.31 × 1,077.37
  4. Step 4: Simplify right side
    3,542.37x = 5,725,478.16
  5. Step 5: Solve for x
    x = 5,725,478.16/3,542.37
  6. Step 6: Final answer
    x = 1,616.28

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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.