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Finding the Fourth Proportional to 3,696.66, 5,544.98 and 1,504.87

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Solution

The fourth proportional to 3,696.66, 5,544.98 and 1,504.87 is: 2,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.66 : 5,544.98 = 1,504.87 : x
  2. Step 2: Convert to fraction form
    3,696.66/5,544.98 = 1,504.87/x
  3. Step 3: Cross multiply
    3,696.66x = 5,544.98 × 1,504.87
  4. Step 4: Simplify right side
    3,696.66x = 8,344,474.05
  5. Step 5: Solve for x
    x = 8,344,474.05/3,696.66
  6. Step 6: Final answer
    x = 2,257.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.