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Finding the Fourth Proportional to 5,668.70, 7,822.24 and 3,310.52

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Solution

The fourth proportional to 5,668.70, 7,822.24 and 3,310.52 is: 4,568.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.70 : 7,822.24 = 3,310.52 : x
  2. Step 2: Convert to fraction form
    5,668.70/7,822.24 = 3,310.52/x
  3. Step 3: Cross multiply
    5,668.70x = 7,822.24 × 3,310.52
  4. Step 4: Simplify right side
    5,668.70x = 25,895,634.58
  5. Step 5: Solve for x
    x = 25,895,634.58/5,668.70
  6. Step 6: Final answer
    x = 4,568.18

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Why These Related Problems?

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