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Finding the Fourth Proportional to 5,489.88, 7,576.05 and 2,972.02

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Solution

The fourth proportional to 5,489.88, 7,576.05 and 2,972.02 is: 4,101.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.88 : 7,576.05 = 2,972.02 : x
  2. Step 2: Convert to fraction form
    5,489.88/7,576.05 = 2,972.02/x
  3. Step 3: Cross multiply
    5,489.88x = 7,576.05 × 2,972.02
  4. Step 4: Simplify right side
    5,489.88x = 22,516,132.15
  5. Step 5: Solve for x
    x = 22,516,132.15/5,489.88
  6. Step 6: Final answer
    x = 4,101.39

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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.