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Finding the Fourth Proportional to 3,817.49, 5,726.25 and 1,044.18

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Solution

The fourth proportional to 3,817.49, 5,726.25 and 1,044.18 is: 1,566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.49 : 5,726.25 = 1,044.18 : x
  2. Step 2: Convert to fraction form
    3,817.49/5,726.25 = 1,044.18/x
  3. Step 3: Cross multiply
    3,817.49x = 5,726.25 × 1,044.18
  4. Step 4: Simplify right side
    3,817.49x = 5,979,235.73
  5. Step 5: Solve for x
    x = 5,979,235.73/3,817.49
  6. Step 6: Final answer
    x = 1,566.28

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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.