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Finding the Fourth Proportional to 5,044.88, 6,961.20 and 2,806.82

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Solution

The fourth proportional to 5,044.88, 6,961.20 and 2,806.82 is: 3,873.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.88 : 6,961.20 = 2,806.82 : x
  2. Step 2: Convert to fraction form
    5,044.88/6,961.20 = 2,806.82/x
  3. Step 3: Cross multiply
    5,044.88x = 6,961.20 × 2,806.82
  4. Step 4: Simplify right side
    5,044.88x = 19,538,835.38
  5. Step 5: Solve for x
    x = 19,538,835.38/5,044.88
  6. Step 6: Final answer
    x = 3,873.00

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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.