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Finding the Fourth Proportional to 5,726.24, 8,589 and 3,416

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Solution

The fourth proportional to 5,726.24, 8,589 and 3,416 is: 5,123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.24 : 8,589 = 3,416 : x
  2. Step 2: Convert to fraction form
    5,726.24/8,589 = 3,416/x
  3. Step 3: Cross multiply
    5,726.24x = 8,589 × 3,416
  4. Step 4: Simplify right side
    5,726.24x = 29,340,024
  5. Step 5: Solve for x
    x = 29,340,024/5,726.24
  6. Step 6: Final answer
    x = 5,123.79

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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.