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Finding the Fourth Proportional to 4,491.68, 6,198.81 and 3,092

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Solution

The fourth proportional to 4,491.68, 6,198.81 and 3,092 is: 4,267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.68 : 6,198.81 = 3,092 : x
  2. Step 2: Convert to fraction form
    4,491.68/6,198.81 = 3,092/x
  3. Step 3: Cross multiply
    4,491.68x = 6,198.81 × 3,092
  4. Step 4: Simplify right side
    4,491.68x = 19,166,720.52
  5. Step 5: Solve for x
    x = 19,166,720.52/4,491.68
  6. Step 6: Final answer
    x = 4,267.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.