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Finding the Fourth Proportional to 3,791.64, 5,232.78 and 2,375.40

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Solution

The fourth proportional to 3,791.64, 5,232.78 and 2,375.40 is: 3,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.64 : 5,232.78 = 2,375.40 : x
  2. Step 2: Convert to fraction form
    3,791.64/5,232.78 = 2,375.40/x
  3. Step 3: Cross multiply
    3,791.64x = 5,232.78 × 2,375.40
  4. Step 4: Simplify right side
    3,791.64x = 12,429,945.61
  5. Step 5: Solve for x
    x = 12,429,945.61/3,791.64
  6. Step 6: Final answer
    x = 3,278.25

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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.