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Finding the Fourth Proportional to 3,819.66, 5,731.68 and 2,064.68

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Solution

The fourth proportional to 3,819.66, 5,731.68 and 2,064.68 is: 3,098.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.66 : 5,731.68 = 2,064.68 : x
  2. Step 2: Convert to fraction form
    3,819.66/5,731.68 = 2,064.68/x
  3. Step 3: Cross multiply
    3,819.66x = 5,731.68 × 2,064.68
  4. Step 4: Simplify right side
    3,819.66x = 11,834,085.06
  5. Step 5: Solve for x
    x = 11,834,085.06/3,819.66
  6. Step 6: Final answer
    x = 3,098.20

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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.