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Finding the Fourth Proportional to 3,819.06, 5,270.49 and 2,140.49

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Solution

The fourth proportional to 3,819.06, 5,270.49 and 2,140.49 is: 2,953.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.06 : 5,270.49 = 2,140.49 : x
  2. Step 2: Convert to fraction form
    3,819.06/5,270.49 = 2,140.49/x
  3. Step 3: Cross multiply
    3,819.06x = 5,270.49 × 2,140.49
  4. Step 4: Simplify right side
    3,819.06x = 11,281,404.79
  5. Step 5: Solve for x
    x = 11,281,404.79/3,819.06
  6. Step 6: Final answer
    x = 2,953.97

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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.