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Finding the Fourth Proportional to 5,881.49, 8,116.52 and 3,228.84

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Solution

The fourth proportional to 5,881.49, 8,116.52 and 3,228.84 is: 4,455.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.49 : 8,116.52 = 3,228.84 : x
  2. Step 2: Convert to fraction form
    5,881.49/8,116.52 = 3,228.84/x
  3. Step 3: Cross multiply
    5,881.49x = 8,116.52 × 3,228.84
  4. Step 4: Simplify right side
    5,881.49x = 26,206,944.44
  5. Step 5: Solve for x
    x = 26,206,944.44/5,881.49
  6. Step 6: Final answer
    x = 4,455.83

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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.