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Finding the Fourth Proportional to 3,493.34, 4,819.16 and 2,166.56

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Solution

The fourth proportional to 3,493.34, 4,819.16 and 2,166.56 is: 2,988.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.34 : 4,819.16 = 2,166.56 : x
  2. Step 2: Convert to fraction form
    3,493.34/4,819.16 = 2,166.56/x
  3. Step 3: Cross multiply
    3,493.34x = 4,819.16 × 2,166.56
  4. Step 4: Simplify right side
    3,493.34x = 10,440,999.29
  5. Step 5: Solve for x
    x = 10,440,999.29/3,493.34
  6. Step 6: Final answer
    x = 2,988.83

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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.