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Finding the Fourth Proportional to 6,578.37, 9,871.85 and 2,418.41

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Solution

The fourth proportional to 6,578.37, 9,871.85 and 2,418.41 is: 3,629.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.37 : 9,871.85 = 2,418.41 : x
  2. Step 2: Convert to fraction form
    6,578.37/9,871.85 = 2,418.41/x
  3. Step 3: Cross multiply
    6,578.37x = 9,871.85 × 2,418.41
  4. Step 4: Simplify right side
    6,578.37x = 23,874,211.48
  5. Step 5: Solve for x
    x = 23,874,211.48/6,578.37
  6. Step 6: Final answer
    x = 3,629.20

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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.