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Finding the Fourth Proportional to 5,138.66, 7,699.14 and 3,469.10

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Solution

The fourth proportional to 5,138.66, 7,699.14 and 3,469.10 is: 5,197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.66 : 7,699.14 = 3,469.10 : x
  2. Step 2: Convert to fraction form
    5,138.66/7,699.14 = 3,469.10/x
  3. Step 3: Cross multiply
    5,138.66x = 7,699.14 × 3,469.10
  4. Step 4: Simplify right side
    5,138.66x = 26,709,086.57
  5. Step 5: Solve for x
    x = 26,709,086.57/5,138.66
  6. Step 6: Final answer
    x = 5,197.68

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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.