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Finding the Fourth Proportional to 5,489.52, 8,239.75 and 3,025.50

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Solution

The fourth proportional to 5,489.52, 8,239.75 and 3,025.50 is: 4,541.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.52 : 8,239.75 = 3,025.50 : x
  2. Step 2: Convert to fraction form
    5,489.52/8,239.75 = 3,025.50/x
  3. Step 3: Cross multiply
    5,489.52x = 8,239.75 × 3,025.50
  4. Step 4: Simplify right side
    5,489.52x = 24,929,380.02
  5. Step 5: Solve for x
    x = 24,929,380.02/5,489.52
  6. Step 6: Final answer
    x = 4,541.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.