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Finding the Fourth Proportional to 4,449.86, 6,671.55 and 2,138.66

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Solution

The fourth proportional to 4,449.86, 6,671.55 and 2,138.66 is: 3,206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,449.86 : 6,671.55 = 2,138.66 : x
  2. Step 2: Convert to fraction form
    4,449.86/6,671.55 = 2,138.66/x
  3. Step 3: Cross multiply
    4,449.86x = 6,671.55 × 2,138.66
  4. Step 4: Simplify right side
    4,449.86x = 14,268,177.12
  5. Step 5: Solve for x
    x = 14,268,177.12/4,449.86
  6. Step 6: Final answer
    x = 3,206.43

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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.