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Finding the Fourth Proportional to 3,278.57, 4,917.95 and 1,087.23

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Solution

The fourth proportional to 3,278.57, 4,917.95 and 1,087.23 is: 1,630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.57 : 4,917.95 = 1,087.23 : x
  2. Step 2: Convert to fraction form
    3,278.57/4,917.95 = 1,087.23/x
  3. Step 3: Cross multiply
    3,278.57x = 4,917.95 × 1,087.23
  4. Step 4: Simplify right side
    3,278.57x = 5,346,945.50
  5. Step 5: Solve for x
    x = 5,346,945.50/3,278.57
  6. Step 6: Final answer
    x = 1,630.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.