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Finding the Fourth Proportional to 5,663.24, 8,494.56 and 1,767.20

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Solution

The fourth proportional to 5,663.24, 8,494.56 and 1,767.20 is: 2,650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.24 : 8,494.56 = 1,767.20 : x
  2. Step 2: Convert to fraction form
    5,663.24/8,494.56 = 1,767.20/x
  3. Step 3: Cross multiply
    5,663.24x = 8,494.56 × 1,767.20
  4. Step 4: Simplify right side
    5,663.24x = 15,011,586.43
  5. Step 5: Solve for x
    x = 15,011,586.43/5,663.24
  6. Step 6: Final answer
    x = 2,650.71

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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.