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Finding the Fourth Proportional to 5,149.75, 7,706.17 and 4,458.80

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Solution

The fourth proportional to 5,149.75, 7,706.17 and 4,458.80 is: 6,672.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.75 : 7,706.17 = 4,458.80 : x
  2. Step 2: Convert to fraction form
    5,149.75/7,706.17 = 4,458.80/x
  3. Step 3: Cross multiply
    5,149.75x = 7,706.17 × 4,458.80
  4. Step 4: Simplify right side
    5,149.75x = 34,360,248.50
  5. Step 5: Solve for x
    x = 34,360,248.50/5,149.75
  6. Step 6: Final answer
    x = 6,672.22

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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.