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Finding the Fourth Proportional to 3,544.94, 5,318.76 and 1,696.88

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Solution

The fourth proportional to 3,544.94, 5,318.76 and 1,696.88 is: 2,545.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.94 : 5,318.76 = 1,696.88 : x
  2. Step 2: Convert to fraction form
    3,544.94/5,318.76 = 1,696.88/x
  3. Step 3: Cross multiply
    3,544.94x = 5,318.76 × 1,696.88
  4. Step 4: Simplify right side
    3,544.94x = 9,025,297.47
  5. Step 5: Solve for x
    x = 9,025,297.47/3,544.94
  6. Step 6: Final answer
    x = 2,545.97

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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.