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Finding the Fourth Proportional to 3,901.64, 5,383.72 and 2,222.72

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Solution

The fourth proportional to 3,901.64, 5,383.72 and 2,222.72 is: 3,067.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.64 : 5,383.72 = 2,222.72 : x
  2. Step 2: Convert to fraction form
    3,901.64/5,383.72 = 2,222.72/x
  3. Step 3: Cross multiply
    3,901.64x = 5,383.72 × 2,222.72
  4. Step 4: Simplify right side
    3,901.64x = 11,966,502.12
  5. Step 5: Solve for x
    x = 11,966,502.12/3,901.64
  6. Step 6: Final answer
    x = 3,067.05

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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.