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Finding the Fourth Proportional to 5,981.82, 8,969.08 and 2,280.11

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Solution

The fourth proportional to 5,981.82, 8,969.08 and 2,280.11 is: 3,418.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.82 : 8,969.08 = 2,280.11 : x
  2. Step 2: Convert to fraction form
    5,981.82/8,969.08 = 2,280.11/x
  3. Step 3: Cross multiply
    5,981.82x = 8,969.08 × 2,280.11
  4. Step 4: Simplify right side
    5,981.82x = 20,450,489.00
  5. Step 5: Solve for x
    x = 20,450,489.00/5,981.82
  6. Step 6: Final answer
    x = 3,418.77

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Why These Related Problems?

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