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Finding the Fourth Proportional to 5,209.34, 7,198.13 and 4,545.14

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Solution

The fourth proportional to 5,209.34, 7,198.13 and 4,545.14 is: 6,280.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.34 : 7,198.13 = 4,545.14 : x
  2. Step 2: Convert to fraction form
    5,209.34/7,198.13 = 4,545.14/x
  3. Step 3: Cross multiply
    5,209.34x = 7,198.13 × 4,545.14
  4. Step 4: Simplify right side
    5,209.34x = 32,716,483.96
  5. Step 5: Solve for x
    x = 32,716,483.96/5,209.34
  6. Step 6: Final answer
    x = 6,280.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.