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Finding the Fourth Proportional to 3,735.81, 5,155.38 and 2,163.87

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Solution

The fourth proportional to 3,735.81, 5,155.38 and 2,163.87 is: 2,986.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.81 : 5,155.38 = 2,163.87 : x
  2. Step 2: Convert to fraction form
    3,735.81/5,155.38 = 2,163.87/x
  3. Step 3: Cross multiply
    3,735.81x = 5,155.38 × 2,163.87
  4. Step 4: Simplify right side
    3,735.81x = 11,155,572.12
  5. Step 5: Solve for x
    x = 11,155,572.12/3,735.81
  6. Step 6: Final answer
    x = 2,986.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.