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Finding the Fourth Proportional to 3,704.75, 5,555.50 and 1,107.08

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Solution

The fourth proportional to 3,704.75, 5,555.50 and 1,107.08 is: 1,660.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.75 : 5,555.50 = 1,107.08 : x
  2. Step 2: Convert to fraction form
    3,704.75/5,555.50 = 1,107.08/x
  3. Step 3: Cross multiply
    3,704.75x = 5,555.50 × 1,107.08
  4. Step 4: Simplify right side
    3,704.75x = 6,150,377.38
  5. Step 5: Solve for x
    x = 6,150,377.38/3,704.75
  6. Step 6: Final answer
    x = 1,660.13

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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.