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Finding the Fourth Proportional to 3,488.70, 5,234.88 and 1,542.24

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Solution

The fourth proportional to 3,488.70, 5,234.88 and 1,542.24 is: 2,314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.70 : 5,234.88 = 1,542.24 : x
  2. Step 2: Convert to fraction form
    3,488.70/5,234.88 = 1,542.24/x
  3. Step 3: Cross multiply
    3,488.70x = 5,234.88 × 1,542.24
  4. Step 4: Simplify right side
    3,488.70x = 8,073,441.33
  5. Step 5: Solve for x
    x = 8,073,441.33/3,488.70
  6. Step 6: Final answer
    x = 2,314.17

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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.