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Finding the Fourth Proportional to 5,309.39, 7,327.77 and 3,822.23

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Solution

The fourth proportional to 5,309.39, 7,327.77 and 3,822.23 is: 5,275.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.39 : 7,327.77 = 3,822.23 : x
  2. Step 2: Convert to fraction form
    5,309.39/7,327.77 = 3,822.23/x
  3. Step 3: Cross multiply
    5,309.39x = 7,327.77 × 3,822.23
  4. Step 4: Simplify right side
    5,309.39x = 28,008,422.33
  5. Step 5: Solve for x
    x = 28,008,422.33/5,309.39
  6. Step 6: Final answer
    x = 5,275.26

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