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Finding the Fourth Proportional to 4,200.76, 5,795.22 and 2,942.02

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Solution

The fourth proportional to 4,200.76, 5,795.22 and 2,942.02 is: 4,058.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.76 : 5,795.22 = 2,942.02 : x
  2. Step 2: Convert to fraction form
    4,200.76/5,795.22 = 2,942.02/x
  3. Step 3: Cross multiply
    4,200.76x = 5,795.22 × 2,942.02
  4. Step 4: Simplify right side
    4,200.76x = 17,049,653.14
  5. Step 5: Solve for x
    x = 17,049,653.14/4,200.76
  6. Step 6: Final answer
    x = 4,058.71

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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.