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Finding the Fourth Proportional to 5,666, 7,819.56 and 3,182.48

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Solution

The fourth proportional to 5,666, 7,819.56 and 3,182.48 is: 4,392.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666 : 7,819.56 = 3,182.48 : x
  2. Step 2: Convert to fraction form
    5,666/7,819.56 = 3,182.48/x
  3. Step 3: Cross multiply
    5,666x = 7,819.56 × 3,182.48
  4. Step 4: Simplify right side
    5,666x = 24,885,593.31
  5. Step 5: Solve for x
    x = 24,885,593.31/5,666
  6. Step 6: Final answer
    x = 4,392.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.