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Finding the Fourth Proportional to 4,001.06, 5,519.71 and 3,815.78

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Solution

The fourth proportional to 4,001.06, 5,519.71 and 3,815.78 is: 5,264.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001.06 : 5,519.71 = 3,815.78 : x
  2. Step 2: Convert to fraction form
    4,001.06/5,519.71 = 3,815.78/x
  3. Step 3: Cross multiply
    4,001.06x = 5,519.71 × 3,815.78
  4. Step 4: Simplify right side
    4,001.06x = 21,061,952.35
  5. Step 5: Solve for x
    x = 21,061,952.35/4,001.06
  6. Step 6: Final answer
    x = 5,264.09

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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.