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Finding the Fourth Proportional to 3,704.92, 5,558.27 and 1,107.86

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Solution

The fourth proportional to 3,704.92, 5,558.27 and 1,107.86 is: 1,662.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.92 : 5,558.27 = 1,107.86 : x
  2. Step 2: Convert to fraction form
    3,704.92/5,558.27 = 1,107.86/x
  3. Step 3: Cross multiply
    3,704.92x = 5,558.27 × 1,107.86
  4. Step 4: Simplify right side
    3,704.92x = 6,157,751.67
  5. Step 5: Solve for x
    x = 6,157,751.67/3,704.92
  6. Step 6: Final answer
    x = 1,662.05

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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.