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Finding the Fourth Proportional to 5,689.17, 7,845.84 and 3,899.25

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Solution

The fourth proportional to 5,689.17, 7,845.84 and 3,899.25 is: 5,377.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.17 : 7,845.84 = 3,899.25 : x
  2. Step 2: Convert to fraction form
    5,689.17/7,845.84 = 3,899.25/x
  3. Step 3: Cross multiply
    5,689.17x = 7,845.84 × 3,899.25
  4. Step 4: Simplify right side
    5,689.17x = 30,592,891.62
  5. Step 5: Solve for x
    x = 30,592,891.62/5,689.17
  6. Step 6: Final answer
    x = 5,377.39

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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.