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Finding the Fourth Proportional to 3,881.65, 5,343.15 and 3,383.42

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Solution

The fourth proportional to 3,881.65, 5,343.15 and 3,383.42 is: 4,657.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.65 : 5,343.15 = 3,383.42 : x
  2. Step 2: Convert to fraction form
    3,881.65/5,343.15 = 3,383.42/x
  3. Step 3: Cross multiply
    3,881.65x = 5,343.15 × 3,383.42
  4. Step 4: Simplify right side
    3,881.65x = 18,078,120.57
  5. Step 5: Solve for x
    x = 18,078,120.57/3,881.65
  6. Step 6: Final answer
    x = 4,657.33

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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.