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Finding the Fourth Proportional to 5,137.71, 7,706.57 and 1,627.53

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Solution

The fourth proportional to 5,137.71, 7,706.57 and 1,627.53 is: 2,441.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.71 : 7,706.57 = 1,627.53 : x
  2. Step 2: Convert to fraction form
    5,137.71/7,706.57 = 1,627.53/x
  3. Step 3: Cross multiply
    5,137.71x = 7,706.57 × 1,627.53
  4. Step 4: Simplify right side
    5,137.71x = 12,542,665.73
  5. Step 5: Solve for x
    x = 12,542,665.73/5,137.71
  6. Step 6: Final answer
    x = 2,441.30

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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.