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Finding the Fourth Proportional to 5,254, 7,883.50 and 3,279.09

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Solution

The fourth proportional to 5,254, 7,883.50 and 3,279.09 is: 4,920.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254 : 7,883.50 = 3,279.09 : x
  2. Step 2: Convert to fraction form
    5,254/7,883.50 = 3,279.09/x
  3. Step 3: Cross multiply
    5,254x = 7,883.50 × 3,279.09
  4. Step 4: Simplify right side
    5,254x = 25,850,706.02
  5. Step 5: Solve for x
    x = 25,850,706.02/5,254
  6. Step 6: Final answer
    x = 4,920.20

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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.