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Finding the Fourth Proportional to 5,137.50, 7,711.80 and 2,545.92

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Solution

The fourth proportional to 5,137.50, 7,711.80 and 2,545.92 is: 3,821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.50 : 7,711.80 = 2,545.92 : x
  2. Step 2: Convert to fraction form
    5,137.50/7,711.80 = 2,545.92/x
  3. Step 3: Cross multiply
    5,137.50x = 7,711.80 × 2,545.92
  4. Step 4: Simplify right side
    5,137.50x = 19,633,625.86
  5. Step 5: Solve for x
    x = 19,633,625.86/5,137.50
  6. Step 6: Final answer
    x = 3,821.63

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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.