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Finding the Fourth Proportional to 5,686.34, 8,516.23 and 5,489.26

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Solution

The fourth proportional to 5,686.34, 8,516.23 and 5,489.26 is: 8,221.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.34 : 8,516.23 = 5,489.26 : x
  2. Step 2: Convert to fraction form
    5,686.34/8,516.23 = 5,489.26/x
  3. Step 3: Cross multiply
    5,686.34x = 8,516.23 × 5,489.26
  4. Step 4: Simplify right side
    5,686.34x = 46,747,765.68
  5. Step 5: Solve for x
    x = 46,747,765.68/5,686.34
  6. Step 6: Final answer
    x = 8,221.07

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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.