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Finding the Fourth Proportional to 3,401.91, 4,693.44 and 2,223.68

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Solution

The fourth proportional to 3,401.91, 4,693.44 and 2,223.68 is: 3,067.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.91 : 4,693.44 = 2,223.68 : x
  2. Step 2: Convert to fraction form
    3,401.91/4,693.44 = 2,223.68/x
  3. Step 3: Cross multiply
    3,401.91x = 4,693.44 × 2,223.68
  4. Step 4: Simplify right side
    3,401.91x = 10,436,685.19
  5. Step 5: Solve for x
    x = 10,436,685.19/3,401.91
  6. Step 6: Final answer
    x = 3,067.89

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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.