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Finding the Fourth Proportional to 3,517.38, 4,853.70 and 3,143.16

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Solution

The fourth proportional to 3,517.38, 4,853.70 and 3,143.16 is: 4,337.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.38 : 4,853.70 = 3,143.16 : x
  2. Step 2: Convert to fraction form
    3,517.38/4,853.70 = 3,143.16/x
  3. Step 3: Cross multiply
    3,517.38x = 4,853.70 × 3,143.16
  4. Step 4: Simplify right side
    3,517.38x = 15,255,955.69
  5. Step 5: Solve for x
    x = 15,255,955.69/3,517.38
  6. Step 6: Final answer
    x = 4,337.31

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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.