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Finding the Fourth Proportional to 3,993.68, 5,513.22 and 3,095.39

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Solution

The fourth proportional to 3,993.68, 5,513.22 and 3,095.39 is: 4,273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.68 : 5,513.22 = 3,095.39 : x
  2. Step 2: Convert to fraction form
    3,993.68/5,513.22 = 3,095.39/x
  3. Step 3: Cross multiply
    3,993.68x = 5,513.22 × 3,095.39
  4. Step 4: Simplify right side
    3,993.68x = 17,065,538.49
  5. Step 5: Solve for x
    x = 17,065,538.49/3,993.68
  6. Step 6: Final answer
    x = 4,273.14

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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.