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Finding the Fourth Proportional to 4,199.60, 5,796.30 and 2,431.40

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Solution

The fourth proportional to 4,199.60, 5,796.30 and 2,431.40 is: 3,355.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.60 : 5,796.30 = 2,431.40 : x
  2. Step 2: Convert to fraction form
    4,199.60/5,796.30 = 2,431.40/x
  3. Step 3: Cross multiply
    4,199.60x = 5,796.30 × 2,431.40
  4. Step 4: Simplify right side
    4,199.60x = 14,093,123.82
  5. Step 5: Solve for x
    x = 14,093,123.82/4,199.60
  6. Step 6: Final answer
    x = 3,355.83

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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.