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Finding the Fourth Proportional to 4,199.68, 5,794.68 and 2,431.18

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Solution

The fourth proportional to 4,199.68, 5,794.68 and 2,431.18 is: 3,354.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.68 : 5,794.68 = 2,431.18 : x
  2. Step 2: Convert to fraction form
    4,199.68/5,794.68 = 2,431.18/x
  3. Step 3: Cross multiply
    4,199.68x = 5,794.68 × 2,431.18
  4. Step 4: Simplify right side
    4,199.68x = 14,087,910.12
  5. Step 5: Solve for x
    x = 14,087,910.12/4,199.68
  6. Step 6: Final answer
    x = 3,354.52

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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.