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Finding the Fourth Proportional to 3,841.60, 5,758.88 and 1,243.20

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Solution

The fourth proportional to 3,841.60, 5,758.88 and 1,243.20 is: 1,863.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.60 : 5,758.88 = 1,243.20 : x
  2. Step 2: Convert to fraction form
    3,841.60/5,758.88 = 1,243.20/x
  3. Step 3: Cross multiply
    3,841.60x = 5,758.88 × 1,243.20
  4. Step 4: Simplify right side
    3,841.60x = 7,159,439.62
  5. Step 5: Solve for x
    x = 7,159,439.62/3,841.60
  6. Step 6: Final answer
    x = 1,863.66

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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.