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Finding the Fourth Proportional to 5,542.38, 7,648.54 and 3,184.74

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Solution

The fourth proportional to 5,542.38, 7,648.54 and 3,184.74 is: 4,394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.38 : 7,648.54 = 3,184.74 : x
  2. Step 2: Convert to fraction form
    5,542.38/7,648.54 = 3,184.74/x
  3. Step 3: Cross multiply
    5,542.38x = 7,648.54 × 3,184.74
  4. Step 4: Simplify right side
    5,542.38x = 24,358,611.28
  5. Step 5: Solve for x
    x = 24,358,611.28/5,542.38
  6. Step 6: Final answer
    x = 4,394.97

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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.