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Finding the Fourth Proportional to 4,137.50, 6,207.42 and 1,671.78

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Solution

The fourth proportional to 4,137.50, 6,207.42 and 1,671.78 is: 2,508.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.50 : 6,207.42 = 1,671.78 : x
  2. Step 2: Convert to fraction form
    4,137.50/6,207.42 = 1,671.78/x
  3. Step 3: Cross multiply
    4,137.50x = 6,207.42 × 1,671.78
  4. Step 4: Simplify right side
    4,137.50x = 10,377,440.61
  5. Step 5: Solve for x
    x = 10,377,440.61/4,137.50
  6. Step 6: Final answer
    x = 2,508.14

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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.