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Finding the Fourth Proportional to 5,718.42, 8,578.55 and 2,431.55

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Solution

The fourth proportional to 5,718.42, 8,578.55 and 2,431.55 is: 3,647.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.42 : 8,578.55 = 2,431.55 : x
  2. Step 2: Convert to fraction form
    5,718.42/8,578.55 = 2,431.55/x
  3. Step 3: Cross multiply
    5,718.42x = 8,578.55 × 2,431.55
  4. Step 4: Simplify right side
    5,718.42x = 20,859,200.78
  5. Step 5: Solve for x
    x = 20,859,200.78/5,718.42
  6. Step 6: Final answer
    x = 3,647.72

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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.