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Finding the Fourth Proportional to 3,679.12, 5,077.84 and 2,352.78

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Solution

The fourth proportional to 3,679.12, 5,077.84 and 2,352.78 is: 3,247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.12 : 5,077.84 = 2,352.78 : x
  2. Step 2: Convert to fraction form
    3,679.12/5,077.84 = 2,352.78/x
  3. Step 3: Cross multiply
    3,679.12x = 5,077.84 × 2,352.78
  4. Step 4: Simplify right side
    3,679.12x = 11,947,015.01
  5. Step 5: Solve for x
    x = 11,947,015.01/3,679.12
  6. Step 6: Final answer
    x = 3,247.25

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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.