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Finding the Fourth Proportional to 3,883.82, 5,359.70 and 2,115.45

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Solution

The fourth proportional to 3,883.82, 5,359.70 and 2,115.45 is: 2,919.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.82 : 5,359.70 = 2,115.45 : x
  2. Step 2: Convert to fraction form
    3,883.82/5,359.70 = 2,115.45/x
  3. Step 3: Cross multiply
    3,883.82x = 5,359.70 × 2,115.45
  4. Step 4: Simplify right side
    3,883.82x = 11,338,182.65
  5. Step 5: Solve for x
    x = 11,338,182.65/3,883.82
  6. Step 6: Final answer
    x = 2,919.34

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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.