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Finding the Fourth Proportional to 3,093.08, 4,638.24 and 1,143.92

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Solution

The fourth proportional to 3,093.08, 4,638.24 and 1,143.92 is: 1,715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.08 : 4,638.24 = 1,143.92 : x
  2. Step 2: Convert to fraction form
    3,093.08/4,638.24 = 1,143.92/x
  3. Step 3: Cross multiply
    3,093.08x = 4,638.24 × 1,143.92
  4. Step 4: Simplify right side
    3,093.08x = 5,305,775.50
  5. Step 5: Solve for x
    x = 5,305,775.50/3,093.08
  6. Step 6: Final answer
    x = 1,715.37

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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.