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Finding the Fourth Proportional to 3,456.80, 5,185.12 and 991.56

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Solution

The fourth proportional to 3,456.80, 5,185.12 and 991.56 is: 1,487.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.80 : 5,185.12 = 991.56 : x
  2. Step 2: Convert to fraction form
    3,456.80/5,185.12 = 991.56/x
  3. Step 3: Cross multiply
    3,456.80x = 5,185.12 × 991.56
  4. Step 4: Simplify right side
    3,456.80x = 5,141,357.59
  5. Step 5: Solve for x
    x = 5,141,357.59/3,456.80
  6. Step 6: Final answer
    x = 1,487.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.