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Finding the Fourth Proportional to 3,743.53, 5,165.99 and 2,064.91

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Solution

The fourth proportional to 3,743.53, 5,165.99 and 2,064.91 is: 2,849.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.53 : 5,165.99 = 2,064.91 : x
  2. Step 2: Convert to fraction form
    3,743.53/5,165.99 = 2,064.91/x
  3. Step 3: Cross multiply
    3,743.53x = 5,165.99 × 2,064.91
  4. Step 4: Simplify right side
    3,743.53x = 10,667,268.26
  5. Step 5: Solve for x
    x = 10,667,268.26/3,743.53
  6. Step 6: Final answer
    x = 2,849.53

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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.