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Finding the Fourth Proportional to 4,747.24, 7,121.08 and 3,366.76

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Solution

The fourth proportional to 4,747.24, 7,121.08 and 3,366.76 is: 5,050.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.24 : 7,121.08 = 3,366.76 : x
  2. Step 2: Convert to fraction form
    4,747.24/7,121.08 = 3,366.76/x
  3. Step 3: Cross multiply
    4,747.24x = 7,121.08 × 3,366.76
  4. Step 4: Simplify right side
    4,747.24x = 23,974,967.30
  5. Step 5: Solve for x
    x = 23,974,967.30/4,747.24
  6. Step 6: Final answer
    x = 5,050.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.