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Finding the Fourth Proportional to 3,502.71, 5,254.16 and 1,195.83

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Solution

The fourth proportional to 3,502.71, 5,254.16 and 1,195.83 is: 1,793.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.71 : 5,254.16 = 1,195.83 : x
  2. Step 2: Convert to fraction form
    3,502.71/5,254.16 = 1,195.83/x
  3. Step 3: Cross multiply
    3,502.71x = 5,254.16 × 1,195.83
  4. Step 4: Simplify right side
    3,502.71x = 6,283,076.17
  5. Step 5: Solve for x
    x = 6,283,076.17/3,502.71
  6. Step 6: Final answer
    x = 1,793.78

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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.