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Finding the Fourth Proportional to 3,841.44, 5,761.96 and 1,068.27

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Solution

The fourth proportional to 3,841.44, 5,761.96 and 1,068.27 is: 1,602.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.44 : 5,761.96 = 1,068.27 : x
  2. Step 2: Convert to fraction form
    3,841.44/5,761.96 = 1,068.27/x
  3. Step 3: Cross multiply
    3,841.44x = 5,761.96 × 1,068.27
  4. Step 4: Simplify right side
    3,841.44x = 6,155,326.34
  5. Step 5: Solve for x
    x = 6,155,326.34/3,841.44
  6. Step 6: Final answer
    x = 1,602.35

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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.