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Finding the Fourth Proportional to 3,865.53, 5,799.14 and 1,400.09

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Solution

The fourth proportional to 3,865.53, 5,799.14 and 1,400.09 is: 2,100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.53 : 5,799.14 = 1,400.09 : x
  2. Step 2: Convert to fraction form
    3,865.53/5,799.14 = 1,400.09/x
  3. Step 3: Cross multiply
    3,865.53x = 5,799.14 × 1,400.09
  4. Step 4: Simplify right side
    3,865.53x = 8,119,310.92
  5. Step 5: Solve for x
    x = 8,119,310.92/3,865.53
  6. Step 6: Final answer
    x = 2,100.44

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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.