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Finding the Fourth Proportional to 4,452.54, 6,142.02 and 2,774.22

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Solution

The fourth proportional to 4,452.54, 6,142.02 and 2,774.22 is: 3,826.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,452.54 : 6,142.02 = 2,774.22 : x
  2. Step 2: Convert to fraction form
    4,452.54/6,142.02 = 2,774.22/x
  3. Step 3: Cross multiply
    4,452.54x = 6,142.02 × 2,774.22
  4. Step 4: Simplify right side
    4,452.54x = 17,039,314.72
  5. Step 5: Solve for x
    x = 17,039,314.72/4,452.54
  6. Step 6: Final answer
    x = 3,826.88

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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.