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Finding the Fourth Proportional to 5,105.99, 7,046.54 and 3,115.97

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Solution

The fourth proportional to 5,105.99, 7,046.54 and 3,115.97 is: 4,300.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.99 : 7,046.54 = 3,115.97 : x
  2. Step 2: Convert to fraction form
    5,105.99/7,046.54 = 3,115.97/x
  3. Step 3: Cross multiply
    5,105.99x = 7,046.54 × 3,115.97
  4. Step 4: Simplify right side
    5,105.99x = 21,956,812.07
  5. Step 5: Solve for x
    x = 21,956,812.07/5,105.99
  6. Step 6: Final answer
    x = 4,300.21

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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.