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Finding the Fourth Proportional to 3,726.96, 5,585.25 and 2,801.44

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Solution

The fourth proportional to 3,726.96, 5,585.25 and 2,801.44 is: 4,198.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.96 : 5,585.25 = 2,801.44 : x
  2. Step 2: Convert to fraction form
    3,726.96/5,585.25 = 2,801.44/x
  3. Step 3: Cross multiply
    3,726.96x = 5,585.25 × 2,801.44
  4. Step 4: Simplify right side
    3,726.96x = 15,646,742.76
  5. Step 5: Solve for x
    x = 15,646,742.76/3,726.96
  6. Step 6: Final answer
    x = 4,198.26

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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.