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Finding the Fourth Proportional to 5,995.43, 8,992.33 and 1,613.15

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Solution

The fourth proportional to 5,995.43, 8,992.33 and 1,613.15 is: 2,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,995.43 : 8,992.33 = 1,613.15 : x
  2. Step 2: Convert to fraction form
    5,995.43/8,992.33 = 1,613.15/x
  3. Step 3: Cross multiply
    5,995.43x = 8,992.33 × 1,613.15
  4. Step 4: Simplify right side
    5,995.43x = 14,505,928.14
  5. Step 5: Solve for x
    x = 14,505,928.14/5,995.43
  6. Step 6: Final answer
    x = 2,419.50

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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.