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Finding the Fourth Proportional to 3,093.57, 4,636.08 and 1,447.23

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Solution

The fourth proportional to 3,093.57, 4,636.08 and 1,447.23 is: 2,168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.57 : 4,636.08 = 1,447.23 : x
  2. Step 2: Convert to fraction form
    3,093.57/4,636.08 = 1,447.23/x
  3. Step 3: Cross multiply
    3,093.57x = 4,636.08 × 1,447.23
  4. Step 4: Simplify right side
    3,093.57x = 6,709,474.06
  5. Step 5: Solve for x
    x = 6,709,474.06/3,093.57
  6. Step 6: Final answer
    x = 2,168.85

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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.