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Finding the Fourth Proportional to 3,677.71, 5,076.39 and 2,351.41

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Solution

The fourth proportional to 3,677.71, 5,076.39 and 2,351.41 is: 3,245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.71 : 5,076.39 = 2,351.41 : x
  2. Step 2: Convert to fraction form
    3,677.71/5,076.39 = 2,351.41/x
  3. Step 3: Cross multiply
    3,677.71x = 5,076.39 × 2,351.41
  4. Step 4: Simplify right side
    3,677.71x = 11,936,674.21
  5. Step 5: Solve for x
    x = 11,936,674.21/3,677.71
  6. Step 6: Final answer
    x = 3,245.68

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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.