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Finding the Fourth Proportional to 5,390.82, 7,436.85 and 3,896.37

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Solution

The fourth proportional to 5,390.82, 7,436.85 and 3,896.37 is: 5,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.82 : 7,436.85 = 3,896.37 : x
  2. Step 2: Convert to fraction form
    5,390.82/7,436.85 = 3,896.37/x
  3. Step 3: Cross multiply
    5,390.82x = 7,436.85 × 3,896.37
  4. Step 4: Simplify right side
    5,390.82x = 28,976,719.23
  5. Step 5: Solve for x
    x = 28,976,719.23/5,390.82
  6. Step 6: Final answer
    x = 5,375.20

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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.