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Finding the Fourth Proportional to 5,663.56, 8,491.02 and 2,738.92

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Solution

The fourth proportional to 5,663.56, 8,491.02 and 2,738.92 is: 4,106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.56 : 8,491.02 = 2,738.92 : x
  2. Step 2: Convert to fraction form
    5,663.56/8,491.02 = 2,738.92/x
  3. Step 3: Cross multiply
    5,663.56x = 8,491.02 × 2,738.92
  4. Step 4: Simplify right side
    5,663.56x = 23,256,224.50
  5. Step 5: Solve for x
    x = 23,256,224.50/5,663.56
  6. Step 6: Final answer
    x = 4,106.29

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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.