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Finding the Fourth Proportional to 3,960.16, 5,941.05 and 1,362.76

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Solution

The fourth proportional to 3,960.16, 5,941.05 and 1,362.76 is: 2,044.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.16 : 5,941.05 = 1,362.76 : x
  2. Step 2: Convert to fraction form
    3,960.16/5,941.05 = 1,362.76/x
  3. Step 3: Cross multiply
    3,960.16x = 5,941.05 × 1,362.76
  4. Step 4: Simplify right side
    3,960.16x = 8,096,225.30
  5. Step 5: Solve for x
    x = 8,096,225.30/3,960.16
  6. Step 6: Final answer
    x = 2,044.42

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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.