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Finding the Fourth Proportional to 3,832.57, 5,286.76 and 2,651.59

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Solution

The fourth proportional to 3,832.57, 5,286.76 and 2,651.59 is: 3,657.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.57 : 5,286.76 = 2,651.59 : x
  2. Step 2: Convert to fraction form
    3,832.57/5,286.76 = 2,651.59/x
  3. Step 3: Cross multiply
    3,832.57x = 5,286.76 × 2,651.59
  4. Step 4: Simplify right side
    3,832.57x = 14,018,319.95
  5. Step 5: Solve for x
    x = 14,018,319.95/3,832.57
  6. Step 6: Final answer
    x = 3,657.68

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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.