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Finding the Fourth Proportional to 5,522, 7,620.36 and 3,038

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Solution

The fourth proportional to 5,522, 7,620.36 and 3,038 is: 4,192.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,522 : 7,620.36 = 3,038 : x
  2. Step 2: Convert to fraction form
    5,522/7,620.36 = 3,038/x
  3. Step 3: Cross multiply
    5,522x = 7,620.36 × 3,038
  4. Step 4: Simplify right side
    5,522x = 23,150,653.68
  5. Step 5: Solve for x
    x = 23,150,653.68/5,522
  6. Step 6: Final answer
    x = 4,192.44

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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.