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Finding the Fourth Proportional to 3,578.15, 5,367 and 1,112.78

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Solution

The fourth proportional to 3,578.15, 5,367 and 1,112.78 is: 1,669.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.15 : 5,367 = 1,112.78 : x
  2. Step 2: Convert to fraction form
    3,578.15/5,367 = 1,112.78/x
  3. Step 3: Cross multiply
    3,578.15x = 5,367 × 1,112.78
  4. Step 4: Simplify right side
    3,578.15x = 5,972,290.26
  5. Step 5: Solve for x
    x = 5,972,290.26/3,578.15
  6. Step 6: Final answer
    x = 1,669.10

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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.