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Finding the Fourth Proportional to 3,456.25, 5,185.17 and 1,116.46

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Solution

The fourth proportional to 3,456.25, 5,185.17 and 1,116.46 is: 1,674.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.25 : 5,185.17 = 1,116.46 : x
  2. Step 2: Convert to fraction form
    3,456.25/5,185.17 = 1,116.46/x
  3. Step 3: Cross multiply
    3,456.25x = 5,185.17 × 1,116.46
  4. Step 4: Simplify right side
    3,456.25x = 5,789,034.90
  5. Step 5: Solve for x
    x = 5,789,034.90/3,456.25
  6. Step 6: Final answer
    x = 1,674.95

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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.