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Finding the Fourth Proportional to 3,702.03, 5,548.24 and 1,942.57

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Solution

The fourth proportional to 3,702.03, 5,548.24 and 1,942.57 is: 2,911.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.03 : 5,548.24 = 1,942.57 : x
  2. Step 2: Convert to fraction form
    3,702.03/5,548.24 = 1,942.57/x
  3. Step 3: Cross multiply
    3,702.03x = 5,548.24 × 1,942.57
  4. Step 4: Simplify right side
    3,702.03x = 10,777,844.58
  5. Step 5: Solve for x
    x = 10,777,844.58/3,702.03
  6. Step 6: Final answer
    x = 2,911.33

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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.