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Finding the Fourth Proportional to 3,678.78, 5,512.90 and 2,853.19

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Solution

The fourth proportional to 3,678.78, 5,512.90 and 2,853.19 is: 4,275.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.78 : 5,512.90 = 2,853.19 : x
  2. Step 2: Convert to fraction form
    3,678.78/5,512.90 = 2,853.19/x
  3. Step 3: Cross multiply
    3,678.78x = 5,512.90 × 2,853.19
  4. Step 4: Simplify right side
    3,678.78x = 15,729,351.15
  5. Step 5: Solve for x
    x = 15,729,351.15/3,678.78
  6. Step 6: Final answer
    x = 4,275.70

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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.