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Finding the Fourth Proportional to 5,105.52, 7,046.28 and 3,116.34

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Solution

The fourth proportional to 5,105.52, 7,046.28 and 3,116.34 is: 4,300.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.52 : 7,046.28 = 3,116.34 : x
  2. Step 2: Convert to fraction form
    5,105.52/7,046.28 = 3,116.34/x
  3. Step 3: Cross multiply
    5,105.52x = 7,046.28 × 3,116.34
  4. Step 4: Simplify right side
    5,105.52x = 21,958,604.22
  5. Step 5: Solve for x
    x = 21,958,604.22/5,105.52
  6. Step 6: Final answer
    x = 4,300.95

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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.