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Finding the Fourth Proportional to 5,249.64, 7,876.37 and 2,439.77

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Solution

The fourth proportional to 5,249.64, 7,876.37 and 2,439.77 is: 3,660.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.64 : 7,876.37 = 2,439.77 : x
  2. Step 2: Convert to fraction form
    5,249.64/7,876.37 = 2,439.77/x
  3. Step 3: Cross multiply
    5,249.64x = 7,876.37 × 2,439.77
  4. Step 4: Simplify right side
    5,249.64x = 19,216,557.03
  5. Step 5: Solve for x
    x = 19,216,557.03/5,249.64
  6. Step 6: Final answer
    x = 3,660.55

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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.