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Finding the Fourth Proportional to 3,487.14, 5,229.90 and 1,636.50

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Solution

The fourth proportional to 3,487.14, 5,229.90 and 1,636.50 is: 2,454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.14 : 5,229.90 = 1,636.50 : x
  2. Step 2: Convert to fraction form
    3,487.14/5,229.90 = 1,636.50/x
  3. Step 3: Cross multiply
    3,487.14x = 5,229.90 × 1,636.50
  4. Step 4: Simplify right side
    3,487.14x = 8,558,731.35
  5. Step 5: Solve for x
    x = 8,558,731.35/3,487.14
  6. Step 6: Final answer
    x = 2,454.37

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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.