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Finding the Fourth Proportional to 5,429.97, 7,493.11 and 3,072.13

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Solution

The fourth proportional to 5,429.97, 7,493.11 and 3,072.13 is: 4,239.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.97 : 7,493.11 = 3,072.13 : x
  2. Step 2: Convert to fraction form
    5,429.97/7,493.11 = 3,072.13/x
  3. Step 3: Cross multiply
    5,429.97x = 7,493.11 × 3,072.13
  4. Step 4: Simplify right side
    5,429.97x = 23,019,781.61
  5. Step 5: Solve for x
    x = 23,019,781.61/5,429.97
  6. Step 6: Final answer
    x = 4,239.39

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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.