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Finding the Fourth Proportional to 3,997.81, 5,513.22 and 3,160.51

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Solution

The fourth proportional to 3,997.81, 5,513.22 and 3,160.51 is: 4,358.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.81 : 5,513.22 = 3,160.51 : x
  2. Step 2: Convert to fraction form
    3,997.81/5,513.22 = 3,160.51/x
  3. Step 3: Cross multiply
    3,997.81x = 5,513.22 × 3,160.51
  4. Step 4: Simplify right side
    3,997.81x = 17,424,573.16
  5. Step 5: Solve for x
    x = 17,424,573.16/3,997.81
  6. Step 6: Final answer
    x = 4,358.53

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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.