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Finding the Fourth Proportional to 5,960.76, 8,941.20 and 2,064.25

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Solution

The fourth proportional to 5,960.76, 8,941.20 and 2,064.25 is: 3,096.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.76 : 8,941.20 = 2,064.25 : x
  2. Step 2: Convert to fraction form
    5,960.76/8,941.20 = 2,064.25/x
  3. Step 3: Cross multiply
    5,960.76x = 8,941.20 × 2,064.25
  4. Step 4: Simplify right side
    5,960.76x = 18,456,872.10
  5. Step 5: Solve for x
    x = 18,456,872.10/5,960.76
  6. Step 6: Final answer
    x = 3,096.40

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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.