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Finding the Fourth Proportional to 3,512.59, 5,269.23 and 1,046.97

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Solution

The fourth proportional to 3,512.59, 5,269.23 and 1,046.97 is: 1,570.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.59 : 5,269.23 = 1,046.97 : x
  2. Step 2: Convert to fraction form
    3,512.59/5,269.23 = 1,046.97/x
  3. Step 3: Cross multiply
    3,512.59x = 5,269.23 × 1,046.97
  4. Step 4: Simplify right side
    3,512.59x = 5,516,725.73
  5. Step 5: Solve for x
    x = 5,516,725.73/3,512.59
  6. Step 6: Final answer
    x = 1,570.56

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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.