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Finding the Fourth Proportional to 5,217.66, 7,821.63 and 2,617.56

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Solution

The fourth proportional to 5,217.66, 7,821.63 and 2,617.56 is: 3,923.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.66 : 7,821.63 = 2,617.56 : x
  2. Step 2: Convert to fraction form
    5,217.66/7,821.63 = 2,617.56/x
  3. Step 3: Cross multiply
    5,217.66x = 7,821.63 × 2,617.56
  4. Step 4: Simplify right side
    5,217.66x = 20,473,585.82
  5. Step 5: Solve for x
    x = 20,473,585.82/5,217.66
  6. Step 6: Final answer
    x = 3,923.90

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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.