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Finding the Fourth Proportional to 3,934.54, 5,424.42 and 3,372.58

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Solution

The fourth proportional to 3,934.54, 5,424.42 and 3,372.58 is: 4,649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.54 : 5,424.42 = 3,372.58 : x
  2. Step 2: Convert to fraction form
    3,934.54/5,424.42 = 3,372.58/x
  3. Step 3: Cross multiply
    3,934.54x = 5,424.42 × 3,372.58
  4. Step 4: Simplify right side
    3,934.54x = 18,294,290.40
  5. Step 5: Solve for x
    x = 18,294,290.40/3,934.54
  6. Step 6: Final answer
    x = 4,649.66

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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.