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Finding the Fourth Proportional to 3,860.80, 5,790 and 1,395.30

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Solution

The fourth proportional to 3,860.80, 5,790 and 1,395.30 is: 2,092.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.80 : 5,790 = 1,395.30 : x
  2. Step 2: Convert to fraction form
    3,860.80/5,790 = 1,395.30/x
  3. Step 3: Cross multiply
    3,860.80x = 5,790 × 1,395.30
  4. Step 4: Simplify right side
    3,860.80x = 8,078,787
  5. Step 5: Solve for x
    x = 8,078,787/3,860.80
  6. Step 6: Final answer
    x = 2,092.52

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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.