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Finding the Fourth Proportional to 3,375.14, 4,656.02 and 2,256.42

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Solution

The fourth proportional to 3,375.14, 4,656.02 and 2,256.42 is: 3,112.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375.14 : 4,656.02 = 2,256.42 : x
  2. Step 2: Convert to fraction form
    3,375.14/4,656.02 = 2,256.42/x
  3. Step 3: Cross multiply
    3,375.14x = 4,656.02 × 2,256.42
  4. Step 4: Simplify right side
    3,375.14x = 10,505,942.83
  5. Step 5: Solve for x
    x = 10,505,942.83/3,375.14
  6. Step 6: Final answer
    x = 3,112.75

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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.