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Finding the Fourth Proportional to 3,865.60, 5,797.62 and 1,092.52

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Solution

The fourth proportional to 3,865.60, 5,797.62 and 1,092.52 is: 1,638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.60 : 5,797.62 = 1,092.52 : x
  2. Step 2: Convert to fraction form
    3,865.60/5,797.62 = 1,092.52/x
  3. Step 3: Cross multiply
    3,865.60x = 5,797.62 × 1,092.52
  4. Step 4: Simplify right side
    3,865.60x = 6,334,015.80
  5. Step 5: Solve for x
    x = 6,334,015.80/3,865.60
  6. Step 6: Final answer
    x = 1,638.56

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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.