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Finding the Fourth Proportional to 5,139.41, 7,663.97 and 5,092.63

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Solution

The fourth proportional to 5,139.41, 7,663.97 and 5,092.63 is: 7,594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.41 : 7,663.97 = 5,092.63 : x
  2. Step 2: Convert to fraction form
    5,139.41/7,663.97 = 5,092.63/x
  3. Step 3: Cross multiply
    5,139.41x = 7,663.97 × 5,092.63
  4. Step 4: Simplify right side
    5,139.41x = 39,029,757.11
  5. Step 5: Solve for x
    x = 39,029,757.11/5,139.41
  6. Step 6: Final answer
    x = 7,594.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.