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Finding the Fourth Proportional to 3,478.17, 5,217.20 and 845.69

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Solution

The fourth proportional to 3,478.17, 5,217.20 and 845.69 is: 1,268.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.17 : 5,217.20 = 845.69 : x
  2. Step 2: Convert to fraction form
    3,478.17/5,217.20 = 845.69/x
  3. Step 3: Cross multiply
    3,478.17x = 5,217.20 × 845.69
  4. Step 4: Simplify right side
    3,478.17x = 4,412,103.55
  5. Step 5: Solve for x
    x = 4,412,103.55/3,478.17
  6. Step 6: Final answer
    x = 1,268.51

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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.