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Finding the Fourth Proportional to 5,630.48, 7,767.62 and 3,239.94

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Solution

The fourth proportional to 5,630.48, 7,767.62 and 3,239.94 is: 4,469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.48 : 7,767.62 = 3,239.94 : x
  2. Step 2: Convert to fraction form
    5,630.48/7,767.62 = 3,239.94/x
  3. Step 3: Cross multiply
    5,630.48x = 7,767.62 × 3,239.94
  4. Step 4: Simplify right side
    5,630.48x = 25,166,622.74
  5. Step 5: Solve for x
    x = 25,166,622.74/5,630.48
  6. Step 6: Final answer
    x = 4,469.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.