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Finding the Fourth Proportional to 5,785.82, 8,680.25 and 3,321.50

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Solution

The fourth proportional to 5,785.82, 8,680.25 and 3,321.50 is: 4,983.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.82 : 8,680.25 = 3,321.50 : x
  2. Step 2: Convert to fraction form
    5,785.82/8,680.25 = 3,321.50/x
  3. Step 3: Cross multiply
    5,785.82x = 8,680.25 × 3,321.50
  4. Step 4: Simplify right side
    5,785.82x = 28,831,450.38
  5. Step 5: Solve for x
    x = 28,831,450.38/5,785.82
  6. Step 6: Final answer
    x = 4,983.12

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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.