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Finding the Fourth Proportional to 5,906.69, 8,151.42 and 3,254.19

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Solution

The fourth proportional to 5,906.69, 8,151.42 and 3,254.19 is: 4,490.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.69 : 8,151.42 = 3,254.19 : x
  2. Step 2: Convert to fraction form
    5,906.69/8,151.42 = 3,254.19/x
  3. Step 3: Cross multiply
    5,906.69x = 8,151.42 × 3,254.19
  4. Step 4: Simplify right side
    5,906.69x = 26,526,278.63
  5. Step 5: Solve for x
    x = 26,526,278.63/5,906.69
  6. Step 6: Final answer
    x = 4,490.89

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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.