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Finding the Fourth Proportional to 3,478.28, 4,793.46 and 3,391.88

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Solution

The fourth proportional to 3,478.28, 4,793.46 and 3,391.88 is: 4,674.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.28 : 4,793.46 = 3,391.88 : x
  2. Step 2: Convert to fraction form
    3,478.28/4,793.46 = 3,391.88/x
  3. Step 3: Cross multiply
    3,478.28x = 4,793.46 × 3,391.88
  4. Step 4: Simplify right side
    3,478.28x = 16,258,841.10
  5. Step 5: Solve for x
    x = 16,258,841.10/3,478.28
  6. Step 6: Final answer
    x = 4,674.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.