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Finding the Fourth Proportional to 5,309.93, 7,328.39 and 3,071.84

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Solution

The fourth proportional to 5,309.93, 7,328.39 and 3,071.84 is: 4,239.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.93 : 7,328.39 = 3,071.84 : x
  2. Step 2: Convert to fraction form
    5,309.93/7,328.39 = 3,071.84/x
  3. Step 3: Cross multiply
    5,309.93x = 7,328.39 × 3,071.84
  4. Step 4: Simplify right side
    5,309.93x = 22,511,589.54
  5. Step 5: Solve for x
    x = 22,511,589.54/5,309.93
  6. Step 6: Final answer
    x = 4,239.53

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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.