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Finding the Fourth Proportional to 5,105.38, 7,658.07 and 1,643.14

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Solution

The fourth proportional to 5,105.38, 7,658.07 and 1,643.14 is: 2,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.38 : 7,658.07 = 1,643.14 : x
  2. Step 2: Convert to fraction form
    5,105.38/7,658.07 = 1,643.14/x
  3. Step 3: Cross multiply
    5,105.38x = 7,658.07 × 1,643.14
  4. Step 4: Simplify right side
    5,105.38x = 12,583,281.14
  5. Step 5: Solve for x
    x = 12,583,281.14/5,105.38
  6. Step 6: Final answer
    x = 2,464.71

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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.