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Finding the Fourth Proportional to 3,677.74, 5,076.44 and 2,351.45

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Solution

The fourth proportional to 3,677.74, 5,076.44 and 2,351.45 is: 3,245.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.74 : 5,076.44 = 2,351.45 : x
  2. Step 2: Convert to fraction form
    3,677.74/5,076.44 = 2,351.45/x
  3. Step 3: Cross multiply
    3,677.74x = 5,076.44 × 2,351.45
  4. Step 4: Simplify right side
    3,677.74x = 11,936,982.15
  5. Step 5: Solve for x
    x = 11,936,982.15/3,677.74
  6. Step 6: Final answer
    x = 3,245.74

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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.