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Finding the Fourth Proportional to 5,046.65, 6,964.84 and 2,809.03

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Solution

The fourth proportional to 5,046.65, 6,964.84 and 2,809.03 is: 3,876.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.65 : 6,964.84 = 2,809.03 : x
  2. Step 2: Convert to fraction form
    5,046.65/6,964.84 = 2,809.03/x
  3. Step 3: Cross multiply
    5,046.65x = 6,964.84 × 2,809.03
  4. Step 4: Simplify right side
    5,046.65x = 19,564,427.86
  5. Step 5: Solve for x
    x = 19,564,427.86/5,046.65
  6. Step 6: Final answer
    x = 3,876.71

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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.