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Finding the Fourth Proportional to 3,204.38, 4,807.38 and 895.88

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Solution

The fourth proportional to 3,204.38, 4,807.38 and 895.88 is: 1,344.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.38 : 4,807.38 = 895.88 : x
  2. Step 2: Convert to fraction form
    3,204.38/4,807.38 = 895.88/x
  3. Step 3: Cross multiply
    3,204.38x = 4,807.38 × 895.88
  4. Step 4: Simplify right side
    3,204.38x = 4,306,811.56
  5. Step 5: Solve for x
    x = 4,306,811.56/3,204.38
  6. Step 6: Final answer
    x = 1,344.04

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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.