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Finding the Fourth Proportional to 5,906.93, 8,151.62 and 3,254.37

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Solution

The fourth proportional to 5,906.93, 8,151.62 and 3,254.37 is: 4,491.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.93 : 8,151.62 = 3,254.37 : x
  2. Step 2: Convert to fraction form
    5,906.93/8,151.62 = 3,254.37/x
  3. Step 3: Cross multiply
    5,906.93x = 8,151.62 × 3,254.37
  4. Step 4: Simplify right side
    5,906.93x = 26,528,371.31
  5. Step 5: Solve for x
    x = 26,528,371.31/5,906.93
  6. Step 6: Final answer
    x = 4,491.06

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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.