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Finding the Fourth Proportional to 3,832.68, 5,754.14 and 2,275.56

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Solution

The fourth proportional to 3,832.68, 5,754.14 and 2,275.56 is: 3,416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.68 : 5,754.14 = 2,275.56 : x
  2. Step 2: Convert to fraction form
    3,832.68/5,754.14 = 2,275.56/x
  3. Step 3: Cross multiply
    3,832.68x = 5,754.14 × 2,275.56
  4. Step 4: Simplify right side
    3,832.68x = 13,093,890.82
  5. Step 5: Solve for x
    x = 13,093,890.82/3,832.68
  6. Step 6: Final answer
    x = 3,416.38

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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.