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Finding the Fourth Proportional to 5,723.32, 8,584.94 and 3,761.32

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Solution

The fourth proportional to 5,723.32, 8,584.94 and 3,761.32 is: 5,641.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.32 : 8,584.94 = 3,761.32 : x
  2. Step 2: Convert to fraction form
    5,723.32/8,584.94 = 3,761.32/x
  3. Step 3: Cross multiply
    5,723.32x = 8,584.94 × 3,761.32
  4. Step 4: Simplify right side
    5,723.32x = 32,290,706.52
  5. Step 5: Solve for x
    x = 32,290,706.52/5,723.32
  6. Step 6: Final answer
    x = 5,641.95

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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.