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Finding the Fourth Proportional to 3,772.37, 5,658.23 and 1,691.82

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Solution

The fourth proportional to 3,772.37, 5,658.23 and 1,691.82 is: 2,537.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.37 : 5,658.23 = 1,691.82 : x
  2. Step 2: Convert to fraction form
    3,772.37/5,658.23 = 1,691.82/x
  3. Step 3: Cross multiply
    3,772.37x = 5,658.23 × 1,691.82
  4. Step 4: Simplify right side
    3,772.37x = 9,572,706.15
  5. Step 5: Solve for x
    x = 9,572,706.15/3,772.37
  6. Step 6: Final answer
    x = 2,537.58

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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.