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Finding the Fourth Proportional to 4,847.38, 6,689.45 and 2,857.82

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Solution

The fourth proportional to 4,847.38, 6,689.45 and 2,857.82 is: 3,943.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.38 : 6,689.45 = 2,857.82 : x
  2. Step 2: Convert to fraction form
    4,847.38/6,689.45 = 2,857.82/x
  3. Step 3: Cross multiply
    4,847.38x = 6,689.45 × 2,857.82
  4. Step 4: Simplify right side
    4,847.38x = 19,117,232.06
  5. Step 5: Solve for x
    x = 19,117,232.06/4,847.38
  6. Step 6: Final answer
    x = 3,943.83

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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.