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Finding the Fourth Proportional to 3,470.97, 5,206.31 and 1,005.74

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Solution

The fourth proportional to 3,470.97, 5,206.31 and 1,005.74 is: 1,508.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.97 : 5,206.31 = 1,005.74 : x
  2. Step 2: Convert to fraction form
    3,470.97/5,206.31 = 1,005.74/x
  3. Step 3: Cross multiply
    3,470.97x = 5,206.31 × 1,005.74
  4. Step 4: Simplify right side
    3,470.97x = 5,236,163.16
  5. Step 5: Solve for x
    x = 5,236,163.16/3,470.97
  6. Step 6: Final answer
    x = 1,508.56

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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.