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Finding the Fourth Proportional to 3,187.71, 4,396.14 and 2,067.48

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Solution

The fourth proportional to 3,187.71, 4,396.14 and 2,067.48 is: 2,851.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.71 : 4,396.14 = 2,067.48 : x
  2. Step 2: Convert to fraction form
    3,187.71/4,396.14 = 2,067.48/x
  3. Step 3: Cross multiply
    3,187.71x = 4,396.14 × 2,067.48
  4. Step 4: Simplify right side
    3,187.71x = 9,088,931.53
  5. Step 5: Solve for x
    x = 9,088,931.53/3,187.71
  6. Step 6: Final answer
    x = 2,851.24

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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.