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Finding the Fourth Proportional to 5,660.79, 7,819.37 and 4,719.66

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Solution

The fourth proportional to 5,660.79, 7,819.37 and 4,719.66 is: 6,519.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.79 : 7,819.37 = 4,719.66 : x
  2. Step 2: Convert to fraction form
    5,660.79/7,819.37 = 4,719.66/x
  3. Step 3: Cross multiply
    5,660.79x = 7,819.37 × 4,719.66
  4. Step 4: Simplify right side
    5,660.79x = 36,904,767.81
  5. Step 5: Solve for x
    x = 36,904,767.81/5,660.79
  6. Step 6: Final answer
    x = 6,519.37

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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.