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Finding the Fourth Proportional to 3,833.75, 5,290.64 and 2,261.85

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Solution

The fourth proportional to 3,833.75, 5,290.64 and 2,261.85 is: 3,121.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.75 : 5,290.64 = 2,261.85 : x
  2. Step 2: Convert to fraction form
    3,833.75/5,290.64 = 2,261.85/x
  3. Step 3: Cross multiply
    3,833.75x = 5,290.64 × 2,261.85
  4. Step 4: Simplify right side
    3,833.75x = 11,966,611.42
  5. Step 5: Solve for x
    x = 11,966,611.42/3,833.75
  6. Step 6: Final answer
    x = 3,121.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.