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Finding the Fourth Proportional to 3,720.42, 5,133.81 and 2,149.02

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Solution

The fourth proportional to 3,720.42, 5,133.81 and 2,149.02 is: 2,965.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.42 : 5,133.81 = 2,149.02 : x
  2. Step 2: Convert to fraction form
    3,720.42/5,133.81 = 2,149.02/x
  3. Step 3: Cross multiply
    3,720.42x = 5,133.81 × 2,149.02
  4. Step 4: Simplify right side
    3,720.42x = 11,032,660.37
  5. Step 5: Solve for x
    x = 11,032,660.37/3,720.42
  6. Step 6: Final answer
    x = 2,965.43

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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.