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Finding the Fourth Proportional to 3,817.60, 5,726.40 and 1,044.28

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Solution

The fourth proportional to 3,817.60, 5,726.40 and 1,044.28 is: 1,566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.60 : 5,726.40 = 1,044.28 : x
  2. Step 2: Convert to fraction form
    3,817.60/5,726.40 = 1,044.28/x
  3. Step 3: Cross multiply
    3,817.60x = 5,726.40 × 1,044.28
  4. Step 4: Simplify right side
    3,817.60x = 5,979,964.99
  5. Step 5: Solve for x
    x = 5,979,964.99/3,817.60
  6. Step 6: Final answer
    x = 1,566.42

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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.