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Finding the Fourth Proportional to 3,745.14, 5,168.64 and 2,152.01

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Solution

The fourth proportional to 3,745.14, 5,168.64 and 2,152.01 is: 2,969.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.14 : 5,168.64 = 2,152.01 : x
  2. Step 2: Convert to fraction form
    3,745.14/5,168.64 = 2,152.01/x
  3. Step 3: Cross multiply
    3,745.14x = 5,168.64 × 2,152.01
  4. Step 4: Simplify right side
    3,745.14x = 11,122,964.97
  5. Step 5: Solve for x
    x = 11,122,964.97/3,745.14
  6. Step 6: Final answer
    x = 2,969.97

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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.