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Finding the Fourth Proportional to 5,105.04, 7,658.37 and 2,183.37

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Solution

The fourth proportional to 5,105.04, 7,658.37 and 2,183.37 is: 3,275.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.04 : 7,658.37 = 2,183.37 : x
  2. Step 2: Convert to fraction form
    5,105.04/7,658.37 = 2,183.37/x
  3. Step 3: Cross multiply
    5,105.04x = 7,658.37 × 2,183.37
  4. Step 4: Simplify right side
    5,105.04x = 16,721,055.31
  5. Step 5: Solve for x
    x = 16,721,055.31/5,105.04
  6. Step 6: Final answer
    x = 3,275.40

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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.