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Finding the Fourth Proportional to 5,889.89, 8,834.22 and 3,691.95

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Solution

The fourth proportional to 5,889.89, 8,834.22 and 3,691.95 is: 5,537.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.89 : 8,834.22 = 3,691.95 : x
  2. Step 2: Convert to fraction form
    5,889.89/8,834.22 = 3,691.95/x
  3. Step 3: Cross multiply
    5,889.89x = 8,834.22 × 3,691.95
  4. Step 4: Simplify right side
    5,889.89x = 32,615,498.53
  5. Step 5: Solve for x
    x = 32,615,498.53/5,889.89
  6. Step 6: Final answer
    x = 5,537.54

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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.