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Finding the Fourth Proportional to 6,593.34, 9,098.55 and 3,799.74

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Solution

The fourth proportional to 6,593.34, 9,098.55 and 3,799.74 is: 5,243.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.34 : 9,098.55 = 3,799.74 : x
  2. Step 2: Convert to fraction form
    6,593.34/9,098.55 = 3,799.74/x
  3. Step 3: Cross multiply
    6,593.34x = 9,098.55 × 3,799.74
  4. Step 4: Simplify right side
    6,593.34x = 34,572,124.38
  5. Step 5: Solve for x
    x = 34,572,124.38/6,593.34
  6. Step 6: Final answer
    x = 5,243.49

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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.