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Finding the Fourth Proportional to 5,212.12, 7,809.94 and 3,563

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Solution

The fourth proportional to 5,212.12, 7,809.94 and 3,563 is: 5,338.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.12 : 7,809.94 = 3,563 : x
  2. Step 2: Convert to fraction form
    5,212.12/7,809.94 = 3,563/x
  3. Step 3: Cross multiply
    5,212.12x = 7,809.94 × 3,563
  4. Step 4: Simplify right side
    5,212.12x = 27,826,816.22
  5. Step 5: Solve for x
    x = 27,826,816.22/5,212.12
  6. Step 6: Final answer
    x = 5,338.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.