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Finding the Fourth Proportional to 5,663.69, 8,489.12 and 2,884.49

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Solution

The fourth proportional to 5,663.69, 8,489.12 and 2,884.49 is: 4,323.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.69 : 8,489.12 = 2,884.49 : x
  2. Step 2: Convert to fraction form
    5,663.69/8,489.12 = 2,884.49/x
  3. Step 3: Cross multiply
    5,663.69x = 8,489.12 × 2,884.49
  4. Step 4: Simplify right side
    5,663.69x = 24,486,767.33
  5. Step 5: Solve for x
    x = 24,486,767.33/5,663.69
  6. Step 6: Final answer
    x = 4,323.47

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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.