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Finding the Fourth Proportional to 5,663.07, 8,489.41 and 1,962.71

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Solution

The fourth proportional to 5,663.07, 8,489.41 and 1,962.71 is: 2,942.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.07 : 8,489.41 = 1,962.71 : x
  2. Step 2: Convert to fraction form
    5,663.07/8,489.41 = 1,962.71/x
  3. Step 3: Cross multiply
    5,663.07x = 8,489.41 × 1,962.71
  4. Step 4: Simplify right side
    5,663.07x = 16,662,249.90
  5. Step 5: Solve for x
    x = 16,662,249.90/5,663.07
  6. Step 6: Final answer
    x = 2,942.26

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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.