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Finding the Fourth Proportional to 4,233.69, 5,841.18 and 2,464.11

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Solution

The fourth proportional to 4,233.69, 5,841.18 and 2,464.11 is: 3,399.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233.69 : 5,841.18 = 2,464.11 : x
  2. Step 2: Convert to fraction form
    4,233.69/5,841.18 = 2,464.11/x
  3. Step 3: Cross multiply
    4,233.69x = 5,841.18 × 2,464.11
  4. Step 4: Simplify right side
    4,233.69x = 14,393,310.05
  5. Step 5: Solve for x
    x = 14,393,310.05/4,233.69
  6. Step 6: Final answer
    x = 3,399.71

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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.