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Finding the Fourth Proportional to 3,883.40, 5,358.92 and 2,115

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Solution

The fourth proportional to 3,883.40, 5,358.92 and 2,115 is: 2,918.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.40 : 5,358.92 = 2,115 : x
  2. Step 2: Convert to fraction form
    3,883.40/5,358.92 = 2,115/x
  3. Step 3: Cross multiply
    3,883.40x = 5,358.92 × 2,115
  4. Step 4: Simplify right side
    3,883.40x = 11,334,115.80
  5. Step 5: Solve for x
    x = 11,334,115.80/3,883.40
  6. Step 6: Final answer
    x = 2,918.61

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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.