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Finding the Fourth Proportional to 5,107.47, 7,657.31 and 2,332.22

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Solution

The fourth proportional to 5,107.47, 7,657.31 and 2,332.22 is: 3,496.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.47 : 7,657.31 = 2,332.22 : x
  2. Step 2: Convert to fraction form
    5,107.47/7,657.31 = 2,332.22/x
  3. Step 3: Cross multiply
    5,107.47x = 7,657.31 × 2,332.22
  4. Step 4: Simplify right side
    5,107.47x = 17,858,481.58
  5. Step 5: Solve for x
    x = 17,858,481.58/5,107.47
  6. Step 6: Final answer
    x = 3,496.54

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