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Finding the Fourth Proportional to 6,578.85, 9,872.17 and 2,421.78

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Solution

The fourth proportional to 6,578.85, 9,872.17 and 2,421.78 is: 3,634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.85 : 9,872.17 = 2,421.78 : x
  2. Step 2: Convert to fraction form
    6,578.85/9,872.17 = 2,421.78/x
  3. Step 3: Cross multiply
    6,578.85x = 9,872.17 × 2,421.78
  4. Step 4: Simplify right side
    6,578.85x = 23,908,217.81
  5. Step 5: Solve for x
    x = 23,908,217.81/6,578.85
  6. Step 6: Final answer
    x = 3,634.10

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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.