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Finding the Fourth Proportional to 4,233.69, 5,841.15 and 2,464.97

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Solution

The fourth proportional to 4,233.69, 5,841.15 and 2,464.97 is: 3,400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233.69 : 5,841.15 = 2,464.97 : x
  2. Step 2: Convert to fraction form
    4,233.69/5,841.15 = 2,464.97/x
  3. Step 3: Cross multiply
    4,233.69x = 5,841.15 × 2,464.97
  4. Step 4: Simplify right side
    4,233.69x = 14,398,230.31
  5. Step 5: Solve for x
    x = 14,398,230.31/4,233.69
  6. Step 6: Final answer
    x = 3,400.87

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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.