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Finding the Fourth Proportional to 5,031.70, 7,545.11 and 2,109.22

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Solution

The fourth proportional to 5,031.70, 7,545.11 and 2,109.22 is: 3,162.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,031.70 : 7,545.11 = 2,109.22 : x
  2. Step 2: Convert to fraction form
    5,031.70/7,545.11 = 2,109.22/x
  3. Step 3: Cross multiply
    5,031.70x = 7,545.11 × 2,109.22
  4. Step 4: Simplify right side
    5,031.70x = 15,914,296.91
  5. Step 5: Solve for x
    x = 15,914,296.91/5,031.70
  6. Step 6: Final answer
    x = 3,162.81

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