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Finding the Fourth Proportional to 3,863.40, 5,780.70 and 3,517.80

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Solution

The fourth proportional to 3,863.40, 5,780.70 and 3,517.80 is: 5,263.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.40 : 5,780.70 = 3,517.80 : x
  2. Step 2: Convert to fraction form
    3,863.40/5,780.70 = 3,517.80/x
  3. Step 3: Cross multiply
    3,863.40x = 5,780.70 × 3,517.80
  4. Step 4: Simplify right side
    3,863.40x = 20,335,346.46
  5. Step 5: Solve for x
    x = 20,335,346.46/3,863.40
  6. Step 6: Final answer
    x = 5,263.59

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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.