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Finding the Fourth Proportional to 3,279.36, 4,912.50 and 1,549.20

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Solution

The fourth proportional to 3,279.36, 4,912.50 and 1,549.20 is: 2,320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.36 : 4,912.50 = 1,549.20 : x
  2. Step 2: Convert to fraction form
    3,279.36/4,912.50 = 1,549.20/x
  3. Step 3: Cross multiply
    3,279.36x = 4,912.50 × 1,549.20
  4. Step 4: Simplify right side
    3,279.36x = 7,610,445
  5. Step 5: Solve for x
    x = 7,610,445/3,279.36
  6. Step 6: Final answer
    x = 2,320.71

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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.