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Finding the Fourth Proportional to 3,768.70, 5,201.06 and 2,175.64

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Solution

The fourth proportional to 3,768.70, 5,201.06 and 2,175.64 is: 3,002.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.70 : 5,201.06 = 2,175.64 : x
  2. Step 2: Convert to fraction form
    3,768.70/5,201.06 = 2,175.64/x
  3. Step 3: Cross multiply
    3,768.70x = 5,201.06 × 2,175.64
  4. Step 4: Simplify right side
    3,768.70x = 11,315,634.18
  5. Step 5: Solve for x
    x = 11,315,634.18/3,768.70
  6. Step 6: Final answer
    x = 3,002.53

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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.