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Finding the Fourth Proportional to 3,863.76, 5,328.36 and 2,538.60

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Solution

The fourth proportional to 3,863.76, 5,328.36 and 2,538.60 is: 3,500.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.76 : 5,328.36 = 2,538.60 : x
  2. Step 2: Convert to fraction form
    3,863.76/5,328.36 = 2,538.60/x
  3. Step 3: Cross multiply
    3,863.76x = 5,328.36 × 2,538.60
  4. Step 4: Simplify right side
    3,863.76x = 13,526,574.70
  5. Step 5: Solve for x
    x = 13,526,574.70/3,863.76
  6. Step 6: Final answer
    x = 3,500.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.