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Finding the Fourth Proportional to 5,891.39, 8,121.71 and 4,212.18

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Solution

The fourth proportional to 5,891.39, 8,121.71 and 4,212.18 is: 5,806.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.39 : 8,121.71 = 4,212.18 : x
  2. Step 2: Convert to fraction form
    5,891.39/8,121.71 = 4,212.18/x
  3. Step 3: Cross multiply
    5,891.39x = 8,121.71 × 4,212.18
  4. Step 4: Simplify right side
    5,891.39x = 34,210,083.37
  5. Step 5: Solve for x
    x = 34,210,083.37/5,891.39
  6. Step 6: Final answer
    x = 5,806.80

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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.