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Finding the Fourth Proportional to 5,123.69, 7,684.15 and 2,201.31

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Solution

The fourth proportional to 5,123.69, 7,684.15 and 2,201.31 is: 3,301.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.69 : 7,684.15 = 2,201.31 : x
  2. Step 2: Convert to fraction form
    5,123.69/7,684.15 = 2,201.31/x
  3. Step 3: Cross multiply
    5,123.69x = 7,684.15 × 2,201.31
  4. Step 4: Simplify right side
    5,123.69x = 16,915,196.24
  5. Step 5: Solve for x
    x = 16,915,196.24/5,123.69
  6. Step 6: Final answer
    x = 3,301.37

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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.