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Finding the Fourth Proportional to 5,727.74, 8,589.96 and 2,606

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Solution

The fourth proportional to 5,727.74, 8,589.96 and 2,606 is: 3,908.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,727.74 : 8,589.96 = 2,606 : x
  2. Step 2: Convert to fraction form
    5,727.74/8,589.96 = 2,606/x
  3. Step 3: Cross multiply
    5,727.74x = 8,589.96 × 2,606
  4. Step 4: Simplify right side
    5,727.74x = 22,385,435.76
  5. Step 5: Solve for x
    x = 22,385,435.76/5,727.74
  6. Step 6: Final answer
    x = 3,908.25

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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.