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Finding the Fourth Proportional to 5,199.82, 7,801.56 and 3,249.76

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Solution

The fourth proportional to 5,199.82, 7,801.56 and 3,249.76 is: 4,875.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.82 : 7,801.56 = 3,249.76 : x
  2. Step 2: Convert to fraction form
    5,199.82/7,801.56 = 3,249.76/x
  3. Step 3: Cross multiply
    5,199.82x = 7,801.56 × 3,249.76
  4. Step 4: Simplify right side
    5,199.82x = 25,353,197.63
  5. Step 5: Solve for x
    x = 25,353,197.63/5,199.82
  6. Step 6: Final answer
    x = 4,875.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.