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Finding the Fourth Proportional to 5,609.34, 8,414.10 and 1,449.38

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Solution

The fourth proportional to 5,609.34, 8,414.10 and 1,449.38 is: 2,174.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.34 : 8,414.10 = 1,449.38 : x
  2. Step 2: Convert to fraction form
    5,609.34/8,414.10 = 1,449.38/x
  3. Step 3: Cross multiply
    5,609.34x = 8,414.10 × 1,449.38
  4. Step 4: Simplify right side
    5,609.34x = 12,195,186.19
  5. Step 5: Solve for x
    x = 12,195,186.19/5,609.34
  6. Step 6: Final answer
    x = 2,174.09

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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.