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Finding the Fourth Proportional to 3,702.00, 5,553.46 and 1,361.61

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Solution

The fourth proportional to 3,702.00, 5,553.46 and 1,361.61 is: 2,042.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.00 : 5,553.46 = 1,361.61 : x
  2. Step 2: Convert to fraction form
    3,702.00/5,553.46 = 1,361.61/x
  3. Step 3: Cross multiply
    3,702.00x = 5,553.46 × 1,361.61
  4. Step 4: Simplify right side
    3,702.00x = 7,561,648.37
  5. Step 5: Solve for x
    x = 7,561,648.37/3,702.00
  6. Step 6: Final answer
    x = 2,042.58

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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.