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Finding the Fourth Proportional to 5,822.66, 8,027.88 and 3,932.96

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Solution

The fourth proportional to 5,822.66, 8,027.88 and 3,932.96 is: 5,422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.66 : 8,027.88 = 3,932.96 : x
  2. Step 2: Convert to fraction form
    5,822.66/8,027.88 = 3,932.96/x
  3. Step 3: Cross multiply
    5,822.66x = 8,027.88 × 3,932.96
  4. Step 4: Simplify right side
    5,822.66x = 31,573,309.22
  5. Step 5: Solve for x
    x = 31,573,309.22/5,822.66
  6. Step 6: Final answer
    x = 5,422.49

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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.