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Finding the Fourth Proportional to 3,694.39, 5,544.03 and 1,746.73

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Solution

The fourth proportional to 3,694.39, 5,544.03 and 1,746.73 is: 2,621.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.39 : 5,544.03 = 1,746.73 : x
  2. Step 2: Convert to fraction form
    3,694.39/5,544.03 = 1,746.73/x
  3. Step 3: Cross multiply
    3,694.39x = 5,544.03 × 1,746.73
  4. Step 4: Simplify right side
    3,694.39x = 9,683,923.52
  5. Step 5: Solve for x
    x = 9,683,923.52/3,694.39
  6. Step 6: Final answer
    x = 2,621.25

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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.