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Finding the Fourth Proportional to 5,734.26, 8,594.37 and 3,270.24

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Solution

The fourth proportional to 5,734.26, 8,594.37 and 3,270.24 is: 4,901.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.26 : 8,594.37 = 3,270.24 : x
  2. Step 2: Convert to fraction form
    5,734.26/8,594.37 = 3,270.24/x
  3. Step 3: Cross multiply
    5,734.26x = 8,594.37 × 3,270.24
  4. Step 4: Simplify right side
    5,734.26x = 28,105,652.55
  5. Step 5: Solve for x
    x = 28,105,652.55/5,734.26
  6. Step 6: Final answer
    x = 4,901.36

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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.