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Finding the Fourth Proportional to 4,202.88, 5,794.32 and 2,942.24

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Solution

The fourth proportional to 4,202.88, 5,794.32 and 2,942.24 is: 4,056.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.88 : 5,794.32 = 2,942.24 : x
  2. Step 2: Convert to fraction form
    4,202.88/5,794.32 = 2,942.24/x
  3. Step 3: Cross multiply
    4,202.88x = 5,794.32 × 2,942.24
  4. Step 4: Simplify right side
    4,202.88x = 17,048,280.08
  5. Step 5: Solve for x
    x = 17,048,280.08/4,202.88
  6. Step 6: Final answer
    x = 4,056.33

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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.