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Finding the Fourth Proportional to 3,866.44, 5,797.93 and 1,092.46

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Solution

The fourth proportional to 3,866.44, 5,797.93 and 1,092.46 is: 1,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.44 : 5,797.93 = 1,092.46 : x
  2. Step 2: Convert to fraction form
    3,866.44/5,797.93 = 1,092.46/x
  3. Step 3: Cross multiply
    3,866.44x = 5,797.93 × 1,092.46
  4. Step 4: Simplify right side
    3,866.44x = 6,334,032.23
  5. Step 5: Solve for x
    x = 6,334,032.23/3,866.44
  6. Step 6: Final answer
    x = 1,638.21

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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.