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Finding the Fourth Proportional to 3,589.67, 5,382.42 and 1,395.83

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Solution

The fourth proportional to 3,589.67, 5,382.42 and 1,395.83 is: 2,092.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.67 : 5,382.42 = 1,395.83 : x
  2. Step 2: Convert to fraction form
    3,589.67/5,382.42 = 1,395.83/x
  3. Step 3: Cross multiply
    3,589.67x = 5,382.42 × 1,395.83
  4. Step 4: Simplify right side
    3,589.67x = 7,512,916.40
  5. Step 5: Solve for x
    x = 7,512,916.40/3,589.67
  6. Step 6: Final answer
    x = 2,092.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.