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Finding the Fourth Proportional to 5,622.27, 7,759.02 and 3,104.38

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Solution

The fourth proportional to 5,622.27, 7,759.02 and 3,104.38 is: 4,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622.27 : 7,759.02 = 3,104.38 : x
  2. Step 2: Convert to fraction form
    5,622.27/7,759.02 = 3,104.38/x
  3. Step 3: Cross multiply
    5,622.27x = 7,759.02 × 3,104.38
  4. Step 4: Simplify right side
    5,622.27x = 24,086,946.51
  5. Step 5: Solve for x
    x = 24,086,946.51/5,622.27
  6. Step 6: Final answer
    x = 4,284.20

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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.