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Finding the Fourth Proportional to 4,696.56, 7,044.84 and 3,231.28

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Solution

The fourth proportional to 4,696.56, 7,044.84 and 3,231.28 is: 4,846.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.56 : 7,044.84 = 3,231.28 : x
  2. Step 2: Convert to fraction form
    4,696.56/7,044.84 = 3,231.28/x
  3. Step 3: Cross multiply
    4,696.56x = 7,044.84 × 3,231.28
  4. Step 4: Simplify right side
    4,696.56x = 22,763,850.60
  5. Step 5: Solve for x
    x = 22,763,850.60/4,696.56
  6. Step 6: Final answer
    x = 4,846.92

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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.