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Finding the Fourth Proportional to 5,974.66, 8,241.54 and 4,085.38

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Solution

The fourth proportional to 5,974.66, 8,241.54 and 4,085.38 is: 5,635.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.66 : 8,241.54 = 4,085.38 : x
  2. Step 2: Convert to fraction form
    5,974.66/8,241.54 = 4,085.38/x
  3. Step 3: Cross multiply
    5,974.66x = 8,241.54 × 4,085.38
  4. Step 4: Simplify right side
    5,974.66x = 33,669,822.69
  5. Step 5: Solve for x
    x = 33,669,822.69/5,974.66
  6. Step 6: Final answer
    x = 5,635.44

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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.