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Finding the Fourth Proportional to 3,488.62, 5,227.69 and 3,159.34

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Solution

The fourth proportional to 3,488.62, 5,227.69 and 3,159.34 is: 4,734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.62 : 5,227.69 = 3,159.34 : x
  2. Step 2: Convert to fraction form
    3,488.62/5,227.69 = 3,159.34/x
  3. Step 3: Cross multiply
    3,488.62x = 5,227.69 × 3,159.34
  4. Step 4: Simplify right side
    3,488.62x = 16,516,050.12
  5. Step 5: Solve for x
    x = 16,516,050.12/3,488.62
  6. Step 6: Final answer
    x = 4,734.26

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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.