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Finding the Fourth Proportional to 4,199.76, 5,796.72 and 2,709.36

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Solution

The fourth proportional to 4,199.76, 5,796.72 and 2,709.36 is: 3,739.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.76 : 5,796.72 = 2,709.36 : x
  2. Step 2: Convert to fraction form
    4,199.76/5,796.72 = 2,709.36/x
  3. Step 3: Cross multiply
    4,199.76x = 5,796.72 × 2,709.36
  4. Step 4: Simplify right side
    4,199.76x = 15,705,401.30
  5. Step 5: Solve for x
    x = 15,705,401.30/4,199.76
  6. Step 6: Final answer
    x = 3,739.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.