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Finding the Fourth Proportional to 3,502.52, 5,254.56 and 1,194

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Solution

The fourth proportional to 3,502.52, 5,254.56 and 1,194 is: 1,791.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.52 : 5,254.56 = 1,194 : x
  2. Step 2: Convert to fraction form
    3,502.52/5,254.56 = 1,194/x
  3. Step 3: Cross multiply
    3,502.52x = 5,254.56 × 1,194
  4. Step 4: Simplify right side
    3,502.52x = 6,273,944.64
  5. Step 5: Solve for x
    x = 6,273,944.64/3,502.52
  6. Step 6: Final answer
    x = 1,791.27

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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.