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Finding the Fourth Proportional to 5,589.12, 7,716.36 and 3,702.31

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Solution

The fourth proportional to 5,589.12, 7,716.36 and 3,702.31 is: 5,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.12 : 7,716.36 = 3,702.31 : x
  2. Step 2: Convert to fraction form
    5,589.12/7,716.36 = 3,702.31/x
  3. Step 3: Cross multiply
    5,589.12x = 7,716.36 × 3,702.31
  4. Step 4: Simplify right side
    5,589.12x = 28,568,351.38
  5. Step 5: Solve for x
    x = 28,568,351.38/5,589.12
  6. Step 6: Final answer
    x = 5,111.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.