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Finding the Fourth Proportional to 4,964.72, 7,449.24 and 3,428.24

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Solution

The fourth proportional to 4,964.72, 7,449.24 and 3,428.24 is: 5,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.72 : 7,449.24 = 3,428.24 : x
  2. Step 2: Convert to fraction form
    4,964.72/7,449.24 = 3,428.24/x
  3. Step 3: Cross multiply
    4,964.72x = 7,449.24 × 3,428.24
  4. Step 4: Simplify right side
    4,964.72x = 25,537,782.54
  5. Step 5: Solve for x
    x = 25,537,782.54/4,964.72
  6. Step 6: Final answer
    x = 5,143.85

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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.