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Finding the Fourth Proportional to 5,995.62, 8,978.85 and 3,657.15

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Solution

The fourth proportional to 5,995.62, 8,978.85 and 3,657.15 is: 5,476.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,995.62 : 8,978.85 = 3,657.15 : x
  2. Step 2: Convert to fraction form
    5,995.62/8,978.85 = 3,657.15/x
  3. Step 3: Cross multiply
    5,995.62x = 8,978.85 × 3,657.15
  4. Step 4: Simplify right side
    5,995.62x = 32,837,001.28
  5. Step 5: Solve for x
    x = 32,837,001.28/5,995.62
  6. Step 6: Final answer
    x = 5,476.83

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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.