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Finding the Fourth Proportional to 7,190.87, 9,920.19 and 4,205.39

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Solution

The fourth proportional to 7,190.87, 9,920.19 and 4,205.39 is: 5,801.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.87 : 9,920.19 = 4,205.39 : x
  2. Step 2: Convert to fraction form
    7,190.87/9,920.19 = 4,205.39/x
  3. Step 3: Cross multiply
    7,190.87x = 9,920.19 × 4,205.39
  4. Step 4: Simplify right side
    7,190.87x = 41,718,218.22
  5. Step 5: Solve for x
    x = 41,718,218.22/7,190.87
  6. Step 6: Final answer
    x = 5,801.56

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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.