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Finding the Fourth Proportional to 3,462.31, 5,193 and 1,270.75

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Solution

The fourth proportional to 3,462.31, 5,193 and 1,270.75 is: 1,905.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.31 : 5,193 = 1,270.75 : x
  2. Step 2: Convert to fraction form
    3,462.31/5,193 = 1,270.75/x
  3. Step 3: Cross multiply
    3,462.31x = 5,193 × 1,270.75
  4. Step 4: Simplify right side
    3,462.31x = 6,599,004.75
  5. Step 5: Solve for x
    x = 6,599,004.75/3,462.31
  6. Step 6: Final answer
    x = 1,905.95

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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.