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Finding the Fourth Proportional to 5,578.09, 8,359.84 and 4,180.44

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Solution

The fourth proportional to 5,578.09, 8,359.84 and 4,180.44 is: 6,265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.09 : 8,359.84 = 4,180.44 : x
  2. Step 2: Convert to fraction form
    5,578.09/8,359.84 = 4,180.44/x
  3. Step 3: Cross multiply
    5,578.09x = 8,359.84 × 4,180.44
  4. Step 4: Simplify right side
    5,578.09x = 34,947,809.53
  5. Step 5: Solve for x
    x = 34,947,809.53/5,578.09
  6. Step 6: Final answer
    x = 6,265.19

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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.