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Finding the Fourth Proportional to 4,199.79, 5,796.05 and 2,431.43

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Solution

The fourth proportional to 4,199.79, 5,796.05 and 2,431.43 is: 3,355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.79 : 5,796.05 = 2,431.43 : x
  2. Step 2: Convert to fraction form
    4,199.79/5,796.05 = 2,431.43/x
  3. Step 3: Cross multiply
    4,199.79x = 5,796.05 × 2,431.43
  4. Step 4: Simplify right side
    4,199.79x = 14,092,648.71
  5. Step 5: Solve for x
    x = 14,092,648.71/4,199.79
  6. Step 6: Final answer
    x = 3,355.56

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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.