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Finding the Fourth Proportional to 5,211, 7,819.06 and 2,288.92

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Solution

The fourth proportional to 5,211, 7,819.06 and 2,288.92 is: 3,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211 : 7,819.06 = 2,288.92 : x
  2. Step 2: Convert to fraction form
    5,211/7,819.06 = 2,288.92/x
  3. Step 3: Cross multiply
    5,211x = 7,819.06 × 2,288.92
  4. Step 4: Simplify right side
    5,211x = 17,897,202.82
  5. Step 5: Solve for x
    x = 17,897,202.82/5,211
  6. Step 6: Final answer
    x = 3,434.50

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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.