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Finding the Fourth Proportional to 5,523, 7,622.28 and 3,427.80

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Solution

The fourth proportional to 5,523, 7,622.28 and 3,427.80 is: 4,730.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523 : 7,622.28 = 3,427.80 : x
  2. Step 2: Convert to fraction form
    5,523/7,622.28 = 3,427.80/x
  3. Step 3: Cross multiply
    5,523x = 7,622.28 × 3,427.80
  4. Step 4: Simplify right side
    5,523x = 26,127,651.38
  5. Step 5: Solve for x
    x = 26,127,651.38/5,523
  6. Step 6: Final answer
    x = 4,730.70

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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.