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Finding the Fourth Proportional to 5,531.38, 7,633.20 and 3,013.54

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Solution

The fourth proportional to 5,531.38, 7,633.20 and 3,013.54 is: 4,158.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.38 : 7,633.20 = 3,013.54 : x
  2. Step 2: Convert to fraction form
    5,531.38/7,633.20 = 3,013.54/x
  3. Step 3: Cross multiply
    5,531.38x = 7,633.20 × 3,013.54
  4. Step 4: Simplify right side
    5,531.38x = 23,002,953.53
  5. Step 5: Solve for x
    x = 23,002,953.53/5,531.38
  6. Step 6: Final answer
    x = 4,158.63

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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.