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Finding the Fourth Proportional to 3,927.47, 5,420.04 and 2,249.42

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Solution

The fourth proportional to 3,927.47, 5,420.04 and 2,249.42 is: 3,104.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.47 : 5,420.04 = 2,249.42 : x
  2. Step 2: Convert to fraction form
    3,927.47/5,420.04 = 2,249.42/x
  3. Step 3: Cross multiply
    3,927.47x = 5,420.04 × 2,249.42
  4. Step 4: Simplify right side
    3,927.47x = 12,191,946.38
  5. Step 5: Solve for x
    x = 12,191,946.38/3,927.47
  6. Step 6: Final answer
    x = 3,104.27

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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.