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Finding the Fourth Proportional to 3,488.87, 5,236.04 and 1,542.44

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Solution

The fourth proportional to 3,488.87, 5,236.04 and 1,542.44 is: 2,314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.87 : 5,236.04 = 1,542.44 : x
  2. Step 2: Convert to fraction form
    3,488.87/5,236.04 = 1,542.44/x
  3. Step 3: Cross multiply
    3,488.87x = 5,236.04 × 1,542.44
  4. Step 4: Simplify right side
    3,488.87x = 8,076,294.48
  5. Step 5: Solve for x
    x = 8,076,294.48/3,488.87
  6. Step 6: Final answer
    x = 2,314.87

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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.