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Finding the Fourth Proportional to 3,694.09, 5,508.59 and 3,660.77

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Solution

The fourth proportional to 3,694.09, 5,508.59 and 3,660.77 is: 5,458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.09 : 5,508.59 = 3,660.77 : x
  2. Step 2: Convert to fraction form
    3,694.09/5,508.59 = 3,660.77/x
  3. Step 3: Cross multiply
    3,694.09x = 5,508.59 × 3,660.77
  4. Step 4: Simplify right side
    3,694.09x = 20,165,697.02
  5. Step 5: Solve for x
    x = 20,165,697.02/3,694.09
  6. Step 6: Final answer
    x = 5,458.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.