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Finding the Fourth Proportional to 5,335.79, 7,997.20 and 3,776.24

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Solution

The fourth proportional to 5,335.79, 7,997.20 and 3,776.24 is: 5,659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.79 : 7,997.20 = 3,776.24 : x
  2. Step 2: Convert to fraction form
    5,335.79/7,997.20 = 3,776.24/x
  3. Step 3: Cross multiply
    5,335.79x = 7,997.20 × 3,776.24
  4. Step 4: Simplify right side
    5,335.79x = 30,199,374.44
  5. Step 5: Solve for x
    x = 30,199,374.44/5,335.79
  6. Step 6: Final answer
    x = 5,659.78

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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.