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Finding the Fourth Proportional to 5,362.83, 7,399.42 and 4,105.31

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Solution

The fourth proportional to 5,362.83, 7,399.42 and 4,105.31 is: 5,664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.83 : 7,399.42 = 4,105.31 : x
  2. Step 2: Convert to fraction form
    5,362.83/7,399.42 = 4,105.31/x
  3. Step 3: Cross multiply
    5,362.83x = 7,399.42 × 4,105.31
  4. Step 4: Simplify right side
    5,362.83x = 30,376,865.66
  5. Step 5: Solve for x
    x = 30,376,865.66/5,362.83
  6. Step 6: Final answer
    x = 5,664.33

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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.