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Finding the Fourth Proportional to 3,888.68, 5,832.14 and 1,115.34

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Solution

The fourth proportional to 3,888.68, 5,832.14 and 1,115.34 is: 1,672.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.68 : 5,832.14 = 1,115.34 : x
  2. Step 2: Convert to fraction form
    3,888.68/5,832.14 = 1,115.34/x
  3. Step 3: Cross multiply
    3,888.68x = 5,832.14 × 1,115.34
  4. Step 4: Simplify right side
    3,888.68x = 6,504,819.03
  5. Step 5: Solve for x
    x = 6,504,819.03/3,888.68
  6. Step 6: Final answer
    x = 1,672.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.