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Finding the Fourth Proportional to 3,805.65, 5,251.47 and 2,126.91

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Solution

The fourth proportional to 3,805.65, 5,251.47 and 2,126.91 is: 2,934.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.65 : 5,251.47 = 2,126.91 : x
  2. Step 2: Convert to fraction form
    3,805.65/5,251.47 = 2,126.91/x
  3. Step 3: Cross multiply
    3,805.65x = 5,251.47 × 2,126.91
  4. Step 4: Simplify right side
    3,805.65x = 11,169,404.06
  5. Step 5: Solve for x
    x = 11,169,404.06/3,805.65
  6. Step 6: Final answer
    x = 2,934.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.