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Finding the Fourth Proportional to 3,933.18, 5,882.35 and 3,497.49

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Solution

The fourth proportional to 3,933.18, 5,882.35 and 3,497.49 is: 5,230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933.18 : 5,882.35 = 3,497.49 : x
  2. Step 2: Convert to fraction form
    3,933.18/5,882.35 = 3,497.49/x
  3. Step 3: Cross multiply
    3,933.18x = 5,882.35 × 3,497.49
  4. Step 4: Simplify right side
    3,933.18x = 20,573,456.55
  5. Step 5: Solve for x
    x = 20,573,456.55/3,933.18
  6. Step 6: Final answer
    x = 5,230.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.