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Finding the Fourth Proportional to 3,801.78, 5,702.60 and 2,252.42

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Solution

The fourth proportional to 3,801.78, 5,702.60 and 2,252.42 is: 3,378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.78 : 5,702.60 = 2,252.42 : x
  2. Step 2: Convert to fraction form
    3,801.78/5,702.60 = 2,252.42/x
  3. Step 3: Cross multiply
    3,801.78x = 5,702.60 × 2,252.42
  4. Step 4: Simplify right side
    3,801.78x = 12,844,650.29
  5. Step 5: Solve for x
    x = 12,844,650.29/3,801.78
  6. Step 6: Final answer
    x = 3,378.59

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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.