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Finding the Fourth Proportional to 5,626.26, 7,759.53 and 4,115.70

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Solution

The fourth proportional to 5,626.26, 7,759.53 and 4,115.70 is: 5,676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.26 : 7,759.53 = 4,115.70 : x
  2. Step 2: Convert to fraction form
    5,626.26/7,759.53 = 4,115.70/x
  3. Step 3: Cross multiply
    5,626.26x = 7,759.53 × 4,115.70
  4. Step 4: Simplify right side
    5,626.26x = 31,935,897.62
  5. Step 5: Solve for x
    x = 31,935,897.62/5,626.26
  6. Step 6: Final answer
    x = 5,676.22

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