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Finding the Fourth Proportional to 2,942.72, 4,066.08 and 2,568.32

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Solution

The fourth proportional to 2,942.72, 4,066.08 and 2,568.32 is: 3,548.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.72 : 4,066.08 = 2,568.32 : x
  2. Step 2: Convert to fraction form
    2,942.72/4,066.08 = 2,568.32/x
  3. Step 3: Cross multiply
    2,942.72x = 4,066.08 × 2,568.32
  4. Step 4: Simplify right side
    2,942.72x = 10,442,994.59
  5. Step 5: Solve for x
    x = 10,442,994.59/2,942.72
  6. Step 6: Final answer
    x = 3,548.76

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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.