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Finding the Fourth Proportional to 5,893.62, 8,132.64 and 3,375.50

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Solution

The fourth proportional to 5,893.62, 8,132.64 and 3,375.50 is: 4,657.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.62 : 8,132.64 = 3,375.50 : x
  2. Step 2: Convert to fraction form
    5,893.62/8,132.64 = 3,375.50/x
  3. Step 3: Cross multiply
    5,893.62x = 8,132.64 × 3,375.50
  4. Step 4: Simplify right side
    5,893.62x = 27,451,726.32
  5. Step 5: Solve for x
    x = 27,451,726.32/5,893.62
  6. Step 6: Final answer
    x = 4,657.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.