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Finding the Fourth Proportional to 3,671.66, 5,067.15 and 2,078.32

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Solution

The fourth proportional to 3,671.66, 5,067.15 and 2,078.32 is: 2,868.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.66 : 5,067.15 = 2,078.32 : x
  2. Step 2: Convert to fraction form
    3,671.66/5,067.15 = 2,078.32/x
  3. Step 3: Cross multiply
    3,671.66x = 5,067.15 × 2,078.32
  4. Step 4: Simplify right side
    3,671.66x = 10,531,146.52
  5. Step 5: Solve for x
    x = 10,531,146.52/3,671.66
  6. Step 6: Final answer
    x = 2,868.22

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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.