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Finding the Fourth Proportional to 5,868.22, 8,781.36 and 5,097.31

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Solution

The fourth proportional to 5,868.22, 8,781.36 and 5,097.31 is: 7,627.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868.22 : 8,781.36 = 5,097.31 : x
  2. Step 2: Convert to fraction form
    5,868.22/8,781.36 = 5,097.31/x
  3. Step 3: Cross multiply
    5,868.22x = 8,781.36 × 5,097.31
  4. Step 4: Simplify right side
    5,868.22x = 44,761,314.14
  5. Step 5: Solve for x
    x = 44,761,314.14/5,868.22
  6. Step 6: Final answer
    x = 7,627.75

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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.