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Finding the Fourth Proportional to 3,708.25, 5,117.39 and 2,311

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Solution

The fourth proportional to 3,708.25, 5,117.39 and 2,311 is: 3,189.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.25 : 5,117.39 = 2,311 : x
  2. Step 2: Convert to fraction form
    3,708.25/5,117.39 = 2,311/x
  3. Step 3: Cross multiply
    3,708.25x = 5,117.39 × 2,311
  4. Step 4: Simplify right side
    3,708.25x = 11,826,288.29
  5. Step 5: Solve for x
    x = 11,826,288.29/3,708.25
  6. Step 6: Final answer
    x = 3,189.18

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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.