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Finding the Fourth Proportional to 5,784.22, 7,982.30 and 3,266.46

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Solution

The fourth proportional to 5,784.22, 7,982.30 and 3,266.46 is: 4,507.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.22 : 7,982.30 = 3,266.46 : x
  2. Step 2: Convert to fraction form
    5,784.22/7,982.30 = 3,266.46/x
  3. Step 3: Cross multiply
    5,784.22x = 7,982.30 × 3,266.46
  4. Step 4: Simplify right side
    5,784.22x = 26,073,863.66
  5. Step 5: Solve for x
    x = 26,073,863.66/5,784.22
  6. Step 6: Final answer
    x = 4,507.76

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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.