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Finding the Fourth Proportional to 5,614.25, 8,419.54 and 2,652.23

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Solution

The fourth proportional to 5,614.25, 8,419.54 and 2,652.23 is: 3,977.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.25 : 8,419.54 = 2,652.23 : x
  2. Step 2: Convert to fraction form
    5,614.25/8,419.54 = 2,652.23/x
  3. Step 3: Cross multiply
    5,614.25x = 8,419.54 × 2,652.23
  4. Step 4: Simplify right side
    5,614.25x = 22,330,556.57
  5. Step 5: Solve for x
    x = 22,330,556.57/5,614.25
  6. Step 6: Final answer
    x = 3,977.48

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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.