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Finding the Fourth Proportional to 3,427.80, 5,143.19 and 3,280.16

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Solution

The fourth proportional to 3,427.80, 5,143.19 and 3,280.16 is: 4,921.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.80 : 5,143.19 = 3,280.16 : x
  2. Step 2: Convert to fraction form
    3,427.80/5,143.19 = 3,280.16/x
  3. Step 3: Cross multiply
    3,427.80x = 5,143.19 × 3,280.16
  4. Step 4: Simplify right side
    3,427.80x = 16,870,443.99
  5. Step 5: Solve for x
    x = 16,870,443.99/3,427.80
  6. Step 6: Final answer
    x = 4,921.65

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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.