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Finding the Fourth Proportional to 3,867.36, 5,799.22 and 1,677.94

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Solution

The fourth proportional to 3,867.36, 5,799.22 and 1,677.94 is: 2,516.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.36 : 5,799.22 = 1,677.94 : x
  2. Step 2: Convert to fraction form
    3,867.36/5,799.22 = 1,677.94/x
  3. Step 3: Cross multiply
    3,867.36x = 5,799.22 × 1,677.94
  4. Step 4: Simplify right side
    3,867.36x = 9,730,743.21
  5. Step 5: Solve for x
    x = 9,730,743.21/3,867.36
  6. Step 6: Final answer
    x = 2,516.12

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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.