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Finding the Fourth Proportional to 3,964.60, 5,982.55 and 3,819.88

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Solution

The fourth proportional to 3,964.60, 5,982.55 and 3,819.88 is: 5,764.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.60 : 5,982.55 = 3,819.88 : x
  2. Step 2: Convert to fraction form
    3,964.60/5,982.55 = 3,819.88/x
  3. Step 3: Cross multiply
    3,964.60x = 5,982.55 × 3,819.88
  4. Step 4: Simplify right side
    3,964.60x = 22,852,623.09
  5. Step 5: Solve for x
    x = 22,852,623.09/3,964.60
  6. Step 6: Final answer
    x = 5,764.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.