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Finding the Fourth Proportional to 3,841.28, 5,762.76 and 1,244.18

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Solution

The fourth proportional to 3,841.28, 5,762.76 and 1,244.18 is: 1,866.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.28 : 5,762.76 = 1,244.18 : x
  2. Step 2: Convert to fraction form
    3,841.28/5,762.76 = 1,244.18/x
  3. Step 3: Cross multiply
    3,841.28x = 5,762.76 × 1,244.18
  4. Step 4: Simplify right side
    3,841.28x = 7,169,910.74
  5. Step 5: Solve for x
    x = 7,169,910.74/3,841.28
  6. Step 6: Final answer
    x = 1,866.54

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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.