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Finding the Fourth Proportional to 3,478.38, 4,797.36 and 3,057.83

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Solution

The fourth proportional to 3,478.38, 4,797.36 and 3,057.83 is: 4,217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.38 : 4,797.36 = 3,057.83 : x
  2. Step 2: Convert to fraction form
    3,478.38/4,797.36 = 3,057.83/x
  3. Step 3: Cross multiply
    3,478.38x = 4,797.36 × 3,057.83
  4. Step 4: Simplify right side
    3,478.38x = 14,669,532.32
  5. Step 5: Solve for x
    x = 14,669,532.32/3,478.38
  6. Step 6: Final answer
    x = 4,217.35

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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.