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Finding the Fourth Proportional to 5,812.97, 8,717.02 and 2,114.51

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Solution

The fourth proportional to 5,812.97, 8,717.02 and 2,114.51 is: 3,170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.97 : 8,717.02 = 2,114.51 : x
  2. Step 2: Convert to fraction form
    5,812.97/8,717.02 = 2,114.51/x
  3. Step 3: Cross multiply
    5,812.97x = 8,717.02 × 2,114.51
  4. Step 4: Simplify right side
    5,812.97x = 18,432,177.09
  5. Step 5: Solve for x
    x = 18,432,177.09/5,812.97
  6. Step 6: Final answer
    x = 3,170.87

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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.