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Finding the Fourth Proportional to 5,977.33, 8,965.99 and 2,079

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Solution

The fourth proportional to 5,977.33, 8,965.99 and 2,079 is: 3,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.33 : 8,965.99 = 2,079 : x
  2. Step 2: Convert to fraction form
    5,977.33/8,965.99 = 2,079/x
  3. Step 3: Cross multiply
    5,977.33x = 8,965.99 × 2,079
  4. Step 4: Simplify right side
    5,977.33x = 18,640,295.81
  5. Step 5: Solve for x
    x = 18,640,295.81/5,977.33
  6. Step 6: Final answer
    x = 3,118.50

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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.