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Finding the Fourth Proportional to 3,658.23, 5,044.77 and 3,354.68

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Solution

The fourth proportional to 3,658.23, 5,044.77 and 3,354.68 is: 4,626.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.23 : 5,044.77 = 3,354.68 : x
  2. Step 2: Convert to fraction form
    3,658.23/5,044.77 = 3,354.68/x
  3. Step 3: Cross multiply
    3,658.23x = 5,044.77 × 3,354.68
  4. Step 4: Simplify right side
    3,658.23x = 16,923,589.02
  5. Step 5: Solve for x
    x = 16,923,589.02/3,658.23
  6. Step 6: Final answer
    x = 4,626.17

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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.