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Finding the Fourth Proportional to 3,487.50, 5,230.17 and 1,021.86

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Solution

The fourth proportional to 3,487.50, 5,230.17 and 1,021.86 is: 1,532.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.50 : 5,230.17 = 1,021.86 : x
  2. Step 2: Convert to fraction form
    3,487.50/5,230.17 = 1,021.86/x
  3. Step 3: Cross multiply
    3,487.50x = 5,230.17 × 1,021.86
  4. Step 4: Simplify right side
    3,487.50x = 5,344,501.52
  5. Step 5: Solve for x
    x = 5,344,501.52/3,487.50
  6. Step 6: Final answer
    x = 1,532.47

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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.