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Finding the Fourth Proportional to 5,669.22, 7,822.40 and 3,310.91

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Solution

The fourth proportional to 5,669.22, 7,822.40 and 3,310.91 is: 4,568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.22 : 7,822.40 = 3,310.91 : x
  2. Step 2: Convert to fraction form
    5,669.22/7,822.40 = 3,310.91/x
  3. Step 3: Cross multiply
    5,669.22x = 7,822.40 × 3,310.91
  4. Step 4: Simplify right side
    5,669.22x = 25,899,206.72
  5. Step 5: Solve for x
    x = 25,899,206.72/5,669.22
  6. Step 6: Final answer
    x = 4,568.39

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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.