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Finding the Fourth Proportional to 3,911.87, 5,868.08 and 1,446.64

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Solution

The fourth proportional to 3,911.87, 5,868.08 and 1,446.64 is: 2,170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.87 : 5,868.08 = 1,446.64 : x
  2. Step 2: Convert to fraction form
    3,911.87/5,868.08 = 1,446.64/x
  3. Step 3: Cross multiply
    3,911.87x = 5,868.08 × 1,446.64
  4. Step 4: Simplify right side
    3,911.87x = 8,488,999.25
  5. Step 5: Solve for x
    x = 8,488,999.25/3,911.87
  6. Step 6: Final answer
    x = 2,170.06

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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.