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Finding the Fourth Proportional to 3,726.84, 5,589.48 and 1,129.20

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Solution

The fourth proportional to 3,726.84, 5,589.48 and 1,129.20 is: 1,693.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.84 : 5,589.48 = 1,129.20 : x
  2. Step 2: Convert to fraction form
    3,726.84/5,589.48 = 1,129.20/x
  3. Step 3: Cross multiply
    3,726.84x = 5,589.48 × 1,129.20
  4. Step 4: Simplify right side
    3,726.84x = 6,311,640.82
  5. Step 5: Solve for x
    x = 6,311,640.82/3,726.84
  6. Step 6: Final answer
    x = 1,693.56

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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.