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Finding the Fourth Proportional to 4,857.31, 6,702.83 and 2,867.14

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Solution

The fourth proportional to 4,857.31, 6,702.83 and 2,867.14 is: 3,956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.31 : 6,702.83 = 2,867.14 : x
  2. Step 2: Convert to fraction form
    4,857.31/6,702.83 = 2,867.14/x
  3. Step 3: Cross multiply
    4,857.31x = 6,702.83 × 2,867.14
  4. Step 4: Simplify right side
    4,857.31x = 19,217,956.80
  5. Step 5: Solve for x
    x = 19,217,956.80/4,857.31
  6. Step 6: Final answer
    x = 3,956.50

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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.