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Finding the Fourth Proportional to 5,761.34, 8,640.92 and 2,063.42

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Solution

The fourth proportional to 5,761.34, 8,640.92 and 2,063.42 is: 3,094.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.34 : 8,640.92 = 2,063.42 : x
  2. Step 2: Convert to fraction form
    5,761.34/8,640.92 = 2,063.42/x
  3. Step 3: Cross multiply
    5,761.34x = 8,640.92 × 2,063.42
  4. Step 4: Simplify right side
    5,761.34x = 17,829,847.15
  5. Step 5: Solve for x
    x = 17,829,847.15/5,761.34
  6. Step 6: Final answer
    x = 3,094.74

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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.