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Finding the Fourth Proportional to 3,470.75, 5,206.24 and 873.69

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Solution

The fourth proportional to 3,470.75, 5,206.24 and 873.69 is: 1,310.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.75 : 5,206.24 = 873.69 : x
  2. Step 2: Convert to fraction form
    3,470.75/5,206.24 = 873.69/x
  3. Step 3: Cross multiply
    3,470.75x = 5,206.24 × 873.69
  4. Step 4: Simplify right side
    3,470.75x = 4,548,639.83
  5. Step 5: Solve for x
    x = 4,548,639.83/3,470.75
  6. Step 6: Final answer
    x = 1,310.56

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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.