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Finding the Fourth Proportional to 3,470.96, 5,206.44 and 873.92

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Solution

The fourth proportional to 3,470.96, 5,206.44 and 873.92 is: 1,310.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.96 : 5,206.44 = 873.92 : x
  2. Step 2: Convert to fraction form
    3,470.96/5,206.44 = 873.92/x
  3. Step 3: Cross multiply
    3,470.96x = 5,206.44 × 873.92
  4. Step 4: Simplify right side
    3,470.96x = 4,550,012.04
  5. Step 5: Solve for x
    x = 4,550,012.04/3,470.96
  6. Step 6: Final answer
    x = 1,310.88

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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.