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Finding the Fourth Proportional to 3,677.52, 5,074.44 and 2,105.36

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Solution

The fourth proportional to 3,677.52, 5,074.44 and 2,105.36 is: 2,905.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.52 : 5,074.44 = 2,105.36 : x
  2. Step 2: Convert to fraction form
    3,677.52/5,074.44 = 2,105.36/x
  3. Step 3: Cross multiply
    3,677.52x = 5,074.44 × 2,105.36
  4. Step 4: Simplify right side
    3,677.52x = 10,683,523.00
  5. Step 5: Solve for x
    x = 10,683,523.00/3,677.52
  6. Step 6: Final answer
    x = 2,905.09

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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.