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Finding the Fourth Proportional to 3,316.36, 4,974.52 and 851.18

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Solution

The fourth proportional to 3,316.36, 4,974.52 and 851.18 is: 1,276.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.36 : 4,974.52 = 851.18 : x
  2. Step 2: Convert to fraction form
    3,316.36/4,974.52 = 851.18/x
  3. Step 3: Cross multiply
    3,316.36x = 4,974.52 × 851.18
  4. Step 4: Simplify right side
    3,316.36x = 4,234,211.93
  5. Step 5: Solve for x
    x = 4,234,211.93/3,316.36
  6. Step 6: Final answer
    x = 1,276.76

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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.