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Finding the Fourth Proportional to 4,821.72, 7,231.16 and 2,048.38

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Solution

The fourth proportional to 4,821.72, 7,231.16 and 2,048.38 is: 3,071.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.72 : 7,231.16 = 2,048.38 : x
  2. Step 2: Convert to fraction form
    4,821.72/7,231.16 = 2,048.38/x
  3. Step 3: Cross multiply
    4,821.72x = 7,231.16 × 2,048.38
  4. Step 4: Simplify right side
    4,821.72x = 14,812,163.52
  5. Step 5: Solve for x
    x = 14,812,163.52/4,821.72
  6. Step 6: Final answer
    x = 3,071.97

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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.