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Finding the Fourth Proportional to 5,812.88, 8,022.84 and 3,456.32

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Solution

The fourth proportional to 5,812.88, 8,022.84 and 3,456.32 is: 4,770.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.88 : 8,022.84 = 3,456.32 : x
  2. Step 2: Convert to fraction form
    5,812.88/8,022.84 = 3,456.32/x
  3. Step 3: Cross multiply
    5,812.88x = 8,022.84 × 3,456.32
  4. Step 4: Simplify right side
    5,812.88x = 27,729,502.35
  5. Step 5: Solve for x
    x = 27,729,502.35/5,812.88
  6. Step 6: Final answer
    x = 4,770.36

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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.