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Finding the Fourth Proportional to 4,157.73, 6,239.09 and 1,658.48

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Solution

The fourth proportional to 4,157.73, 6,239.09 and 1,658.48 is: 2,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.73 : 6,239.09 = 1,658.48 : x
  2. Step 2: Convert to fraction form
    4,157.73/6,239.09 = 1,658.48/x
  3. Step 3: Cross multiply
    4,157.73x = 6,239.09 × 1,658.48
  4. Step 4: Simplify right side
    4,157.73x = 10,347,369.61
  5. Step 5: Solve for x
    x = 10,347,369.61/4,157.73
  6. Step 6: Final answer
    x = 2,488.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.