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Finding the Fourth Proportional to 4,542.90, 6,797.16 and 3,074.73

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Solution

The fourth proportional to 4,542.90, 6,797.16 and 3,074.73 is: 4,600.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.90 : 6,797.16 = 3,074.73 : x
  2. Step 2: Convert to fraction form
    4,542.90/6,797.16 = 3,074.73/x
  3. Step 3: Cross multiply
    4,542.90x = 6,797.16 × 3,074.73
  4. Step 4: Simplify right side
    4,542.90x = 20,899,431.77
  5. Step 5: Solve for x
    x = 20,899,431.77/4,542.90
  6. Step 6: Final answer
    x = 4,600.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.