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Finding the Fourth Proportional to 5,971.50, 8,961.10 and 2,508.75

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Solution

The fourth proportional to 5,971.50, 8,961.10 and 2,508.75 is: 3,764.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.50 : 8,961.10 = 2,508.75 : x
  2. Step 2: Convert to fraction form
    5,971.50/8,961.10 = 2,508.75/x
  3. Step 3: Cross multiply
    5,971.50x = 8,961.10 × 2,508.75
  4. Step 4: Simplify right side
    5,971.50x = 22,481,153.35
  5. Step 5: Solve for x
    x = 22,481,153.35/5,971.50
  6. Step 6: Final answer
    x = 3,764.74

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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.