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Finding the Fourth Proportional to 5,469.52, 8,207 and 3,734.68

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Solution

The fourth proportional to 5,469.52, 8,207 and 3,734.68 is: 5,603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.52 : 8,207 = 3,734.68 : x
  2. Step 2: Convert to fraction form
    5,469.52/8,207 = 3,734.68/x
  3. Step 3: Cross multiply
    5,469.52x = 8,207 × 3,734.68
  4. Step 4: Simplify right side
    5,469.52x = 30,650,518.76
  5. Step 5: Solve for x
    x = 30,650,518.76/5,469.52
  6. Step 6: Final answer
    x = 5,603.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.