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Finding the Fourth Proportional to 3,489.50, 5,233.16 and 1,023.86

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Solution

The fourth proportional to 3,489.50, 5,233.16 and 1,023.86 is: 1,535.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.50 : 5,233.16 = 1,023.86 : x
  2. Step 2: Convert to fraction form
    3,489.50/5,233.16 = 1,023.86/x
  3. Step 3: Cross multiply
    3,489.50x = 5,233.16 × 1,023.86
  4. Step 4: Simplify right side
    3,489.50x = 5,358,023.20
  5. Step 5: Solve for x
    x = 5,358,023.20/3,489.50
  6. Step 6: Final answer
    x = 1,535.47

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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.