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Finding the Fourth Proportional to 4,145.74, 5,745.78 and 4,067.98

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Solution

The fourth proportional to 4,145.74, 5,745.78 and 4,067.98 is: 5,638.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.74 : 5,745.78 = 4,067.98 : x
  2. Step 2: Convert to fraction form
    4,145.74/5,745.78 = 4,067.98/x
  3. Step 3: Cross multiply
    4,145.74x = 5,745.78 × 4,067.98
  4. Step 4: Simplify right side
    4,145.74x = 23,373,718.12
  5. Step 5: Solve for x
    x = 23,373,718.12/4,145.74
  6. Step 6: Final answer
    x = 5,638.01

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.