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Finding the Fourth Proportional to 5,164.90, 7,734.20 and 3,404.57

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Solution

The fourth proportional to 5,164.90, 7,734.20 and 3,404.57 is: 5,098.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.90 : 7,734.20 = 3,404.57 : x
  2. Step 2: Convert to fraction form
    5,164.90/7,734.20 = 3,404.57/x
  3. Step 3: Cross multiply
    5,164.90x = 7,734.20 × 3,404.57
  4. Step 4: Simplify right side
    5,164.90x = 26,331,569.60
  5. Step 5: Solve for x
    x = 26,331,569.60/5,164.90
  6. Step 6: Final answer
    x = 5,098.18

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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.