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Finding the Fourth Proportional to 4,091.46, 5,646.24 and 2,274.42

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Solution

The fourth proportional to 4,091.46, 5,646.24 and 2,274.42 is: 3,138.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091.46 : 5,646.24 = 2,274.42 : x
  2. Step 2: Convert to fraction form
    4,091.46/5,646.24 = 2,274.42/x
  3. Step 3: Cross multiply
    4,091.46x = 5,646.24 × 2,274.42
  4. Step 4: Simplify right side
    4,091.46x = 12,841,921.18
  5. Step 5: Solve for x
    x = 12,841,921.18/4,091.46
  6. Step 6: Final answer
    x = 3,138.71

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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.