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Finding the Fourth Proportional to 4,805.38, 6,633.66 and 2,815.66

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Solution

The fourth proportional to 4,805.38, 6,633.66 and 2,815.66 is: 3,886.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.38 : 6,633.66 = 2,815.66 : x
  2. Step 2: Convert to fraction form
    4,805.38/6,633.66 = 2,815.66/x
  3. Step 3: Cross multiply
    4,805.38x = 6,633.66 × 2,815.66
  4. Step 4: Simplify right side
    4,805.38x = 18,678,131.12
  5. Step 5: Solve for x
    x = 18,678,131.12/4,805.38
  6. Step 6: Final answer
    x = 3,886.92

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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.