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Finding the Fourth Proportional to 5,314.70, 7,974.46 and 3,757.88

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Solution

The fourth proportional to 5,314.70, 7,974.46 and 3,757.88 is: 5,638.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.70 : 7,974.46 = 3,757.88 : x
  2. Step 2: Convert to fraction form
    5,314.70/7,974.46 = 3,757.88/x
  3. Step 3: Cross multiply
    5,314.70x = 7,974.46 × 3,757.88
  4. Step 4: Simplify right side
    5,314.70x = 29,967,063.74
  5. Step 5: Solve for x
    x = 29,967,063.74/5,314.70
  6. Step 6: Final answer
    x = 5,638.52

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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.