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Finding the Fourth Proportional to 3,658.24, 5,046.94 and 2,165.62

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Solution

The fourth proportional to 3,658.24, 5,046.94 and 2,165.62 is: 2,987.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.24 : 5,046.94 = 2,165.62 : x
  2. Step 2: Convert to fraction form
    3,658.24/5,046.94 = 2,165.62/x
  3. Step 3: Cross multiply
    3,658.24x = 5,046.94 × 2,165.62
  4. Step 4: Simplify right side
    3,658.24x = 10,929,754.20
  5. Step 5: Solve for x
    x = 10,929,754.20/3,658.24
  6. Step 6: Final answer
    x = 2,987.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.