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Finding the Fourth Proportional to 5,684.11, 8,516.31 and 3,486.31

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Solution

The fourth proportional to 5,684.11, 8,516.31 and 3,486.31 is: 5,223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.11 : 8,516.31 = 3,486.31 : x
  2. Step 2: Convert to fraction form
    5,684.11/8,516.31 = 3,486.31/x
  3. Step 3: Cross multiply
    5,684.11x = 8,516.31 × 3,486.31
  4. Step 4: Simplify right side
    5,684.11x = 29,690,496.72
  5. Step 5: Solve for x
    x = 29,690,496.72/5,684.11
  6. Step 6: Final answer
    x = 5,223.42

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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.