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Finding the Fourth Proportional to 5,716.41, 8,578.20 and 2,429.53

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Solution

The fourth proportional to 5,716.41, 8,578.20 and 2,429.53 is: 3,645.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.41 : 8,578.20 = 2,429.53 : x
  2. Step 2: Convert to fraction form
    5,716.41/8,578.20 = 2,429.53/x
  3. Step 3: Cross multiply
    5,716.41x = 8,578.20 × 2,429.53
  4. Step 4: Simplify right side
    5,716.41x = 20,840,981.91
  5. Step 5: Solve for x
    x = 20,840,981.91/5,716.41
  6. Step 6: Final answer
    x = 3,645.82

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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.