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Finding the Fourth Proportional to 5,044.65, 6,961.65 and 2,806.55

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Solution

The fourth proportional to 5,044.65, 6,961.65 and 2,806.55 is: 3,873.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.65 : 6,961.65 = 2,806.55 : x
  2. Step 2: Convert to fraction form
    5,044.65/6,961.65 = 2,806.55/x
  3. Step 3: Cross multiply
    5,044.65x = 6,961.65 × 2,806.55
  4. Step 4: Simplify right side
    5,044.65x = 19,538,218.81
  5. Step 5: Solve for x
    x = 19,538,218.81/5,044.65
  6. Step 6: Final answer
    x = 3,873.06

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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.