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Finding the Fourth Proportional to 4,847.17, 7,237.92 and 3,848.78

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Solution

The fourth proportional to 4,847.17, 7,237.92 and 3,848.78 is: 5,747.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.17 : 7,237.92 = 3,848.78 : x
  2. Step 2: Convert to fraction form
    4,847.17/7,237.92 = 3,848.78/x
  3. Step 3: Cross multiply
    4,847.17x = 7,237.92 × 3,848.78
  4. Step 4: Simplify right side
    4,847.17x = 27,857,142.49
  5. Step 5: Solve for x
    x = 27,857,142.49/4,847.17
  6. Step 6: Final answer
    x = 5,747.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.