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Finding the Fourth Proportional to 3,770.16, 5,201.88 and 2,197.68

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Solution

The fourth proportional to 3,770.16, 5,201.88 and 2,197.68 is: 3,032.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.16 : 5,201.88 = 2,197.68 : x
  2. Step 2: Convert to fraction form
    3,770.16/5,201.88 = 2,197.68/x
  3. Step 3: Cross multiply
    3,770.16x = 5,201.88 × 2,197.68
  4. Step 4: Simplify right side
    3,770.16x = 11,432,067.64
  5. Step 5: Solve for x
    x = 11,432,067.64/3,770.16
  6. Step 6: Final answer
    x = 3,032.25

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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.