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Finding the Fourth Proportional to 2,936.42, 4,047.66 and 2,225.42

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Solution

The fourth proportional to 2,936.42, 4,047.66 and 2,225.42 is: 3,067.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.42 : 4,047.66 = 2,225.42 : x
  2. Step 2: Convert to fraction form
    2,936.42/4,047.66 = 2,225.42/x
  3. Step 3: Cross multiply
    2,936.42x = 4,047.66 × 2,225.42
  4. Step 4: Simplify right side
    2,936.42x = 9,007,733.40
  5. Step 5: Solve for x
    x = 9,007,733.40/2,936.42
  6. Step 6: Final answer
    x = 3,067.59

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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.