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Finding the Fourth Proportional to 3,677.81, 5,073.98 and 2,351.30

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Solution

The fourth proportional to 3,677.81, 5,073.98 and 2,351.30 is: 3,243.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.81 : 5,073.98 = 2,351.30 : x
  2. Step 2: Convert to fraction form
    3,677.81/5,073.98 = 2,351.30/x
  3. Step 3: Cross multiply
    3,677.81x = 5,073.98 × 2,351.30
  4. Step 4: Simplify right side
    3,677.81x = 11,930,412.05
  5. Step 5: Solve for x
    x = 11,930,412.05/3,677.81
  6. Step 6: Final answer
    x = 3,243.89

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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.