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Finding the Fourth Proportional to 5,145.09, 7,100.17 and 2,906.97

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Solution

The fourth proportional to 5,145.09, 7,100.17 and 2,906.97 is: 4,011.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.09 : 7,100.17 = 2,906.97 : x
  2. Step 2: Convert to fraction form
    5,145.09/7,100.17 = 2,906.97/x
  3. Step 3: Cross multiply
    5,145.09x = 7,100.17 × 2,906.97
  4. Step 4: Simplify right side
    5,145.09x = 20,639,981.18
  5. Step 5: Solve for x
    x = 20,639,981.18/5,145.09
  6. Step 6: Final answer
    x = 4,011.59

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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.