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Finding the Fourth Proportional to 4,385.54, 6,578.31 and 3,216.80

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Solution

The fourth proportional to 4,385.54, 6,578.31 and 3,216.80 is: 4,825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,385.54 : 6,578.31 = 3,216.80 : x
  2. Step 2: Convert to fraction form
    4,385.54/6,578.31 = 3,216.80/x
  3. Step 3: Cross multiply
    4,385.54x = 6,578.31 × 3,216.80
  4. Step 4: Simplify right side
    4,385.54x = 21,161,107.61
  5. Step 5: Solve for x
    x = 21,161,107.61/4,385.54
  6. Step 6: Final answer
    x = 4,825.20

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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.