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Finding the Fourth Proportional to 3,689.89, 5,531.49 and 1,841.57

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Solution

The fourth proportional to 3,689.89, 5,531.49 and 1,841.57 is: 2,760.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.89 : 5,531.49 = 1,841.57 : x
  2. Step 2: Convert to fraction form
    3,689.89/5,531.49 = 1,841.57/x
  3. Step 3: Cross multiply
    3,689.89x = 5,531.49 × 1,841.57
  4. Step 4: Simplify right side
    3,689.89x = 10,186,626.04
  5. Step 5: Solve for x
    x = 10,186,626.04/3,689.89
  6. Step 6: Final answer
    x = 2,760.69

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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.