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Finding the Fourth Proportional to 4,448, 6,138.32 and 2,584.96

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Solution

The fourth proportional to 4,448, 6,138.32 and 2,584.96 is: 3,567.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,448 : 6,138.32 = 2,584.96 : x
  2. Step 2: Convert to fraction form
    4,448/6,138.32 = 2,584.96/x
  3. Step 3: Cross multiply
    4,448x = 6,138.32 × 2,584.96
  4. Step 4: Simplify right side
    4,448x = 15,867,311.67
  5. Step 5: Solve for x
    x = 15,867,311.67/4,448
  6. Step 6: Final answer
    x = 3,567.29

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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.