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Finding the Fourth Proportional to 5,896.67, 8,851.14 and 2,612.03

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Solution

The fourth proportional to 5,896.67, 8,851.14 and 2,612.03 is: 3,920.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.67 : 8,851.14 = 2,612.03 : x
  2. Step 2: Convert to fraction form
    5,896.67/8,851.14 = 2,612.03/x
  3. Step 3: Cross multiply
    5,896.67x = 8,851.14 × 2,612.03
  4. Step 4: Simplify right side
    5,896.67x = 23,119,398.96
  5. Step 5: Solve for x
    x = 23,119,398.96/5,896.67
  6. Step 6: Final answer
    x = 3,920.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.