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Finding the Fourth Proportional to 3,693.69, 5,093.42 and 2,433.14

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Solution

The fourth proportional to 3,693.69, 5,093.42 and 2,433.14 is: 3,355.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.69 : 5,093.42 = 2,433.14 : x
  2. Step 2: Convert to fraction form
    3,693.69/5,093.42 = 2,433.14/x
  3. Step 3: Cross multiply
    3,693.69x = 5,093.42 × 2,433.14
  4. Step 4: Simplify right side
    3,693.69x = 12,393,003.94
  5. Step 5: Solve for x
    x = 12,393,003.94/3,693.69
  6. Step 6: Final answer
    x = 3,355.18

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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.