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Finding the Fourth Proportional to 5,727.66, 8,578.80 and 4,401.66

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Solution

The fourth proportional to 5,727.66, 8,578.80 and 4,401.66 is: 6,592.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,727.66 : 8,578.80 = 4,401.66 : x
  2. Step 2: Convert to fraction form
    5,727.66/8,578.80 = 4,401.66/x
  3. Step 3: Cross multiply
    5,727.66x = 8,578.80 × 4,401.66
  4. Step 4: Simplify right side
    5,727.66x = 37,760,960.81
  5. Step 5: Solve for x
    x = 37,760,960.81/5,727.66
  6. Step 6: Final answer
    x = 6,592.74

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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.