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Finding the Fourth Proportional to 5,761.22, 8,641.78 and 2,640.35

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Solution

The fourth proportional to 5,761.22, 8,641.78 and 2,640.35 is: 3,960.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.22 : 8,641.78 = 2,640.35 : x
  2. Step 2: Convert to fraction form
    5,761.22/8,641.78 = 2,640.35/x
  3. Step 3: Cross multiply
    5,761.22x = 8,641.78 × 2,640.35
  4. Step 4: Simplify right side
    5,761.22x = 22,817,274.01
  5. Step 5: Solve for x
    x = 22,817,274.01/5,761.22
  6. Step 6: Final answer
    x = 3,960.49

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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.