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Finding the Fourth Proportional to 4,927.98, 6,793.44 and 3,747

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Solution

The fourth proportional to 4,927.98, 6,793.44 and 3,747 is: 5,165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.98 : 6,793.44 = 3,747 : x
  2. Step 2: Convert to fraction form
    4,927.98/6,793.44 = 3,747/x
  3. Step 3: Cross multiply
    4,927.98x = 6,793.44 × 3,747
  4. Step 4: Simplify right side
    4,927.98x = 25,455,019.68
  5. Step 5: Solve for x
    x = 25,455,019.68/4,927.98
  6. Step 6: Final answer
    x = 5,165.41

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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.