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Finding the Fourth Proportional to 5,170.92, 7,756.92 and 1,708.17

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Solution

The fourth proportional to 5,170.92, 7,756.92 and 1,708.17 is: 2,562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.92 : 7,756.92 = 1,708.17 : x
  2. Step 2: Convert to fraction form
    5,170.92/7,756.92 = 1,708.17/x
  3. Step 3: Cross multiply
    5,170.92x = 7,756.92 × 1,708.17
  4. Step 4: Simplify right side
    5,170.92x = 13,250,138.04
  5. Step 5: Solve for x
    x = 13,250,138.04/5,170.92
  6. Step 6: Final answer
    x = 2,562.43

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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.