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Finding the Fourth Proportional to 5,489.31, 7,576.61 and 3,132.82

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Solution

The fourth proportional to 5,489.31, 7,576.61 and 3,132.82 is: 4,324.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.31 : 7,576.61 = 3,132.82 : x
  2. Step 2: Convert to fraction form
    5,489.31/7,576.61 = 3,132.82/x
  3. Step 3: Cross multiply
    5,489.31x = 7,576.61 × 3,132.82
  4. Step 4: Simplify right side
    5,489.31x = 23,736,155.34
  5. Step 5: Solve for x
    x = 23,736,155.34/5,489.31
  6. Step 6: Final answer
    x = 4,324.07

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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.