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Finding the Fourth Proportional to 3,782.67, 5,675.87 and 1,704.19

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Solution

The fourth proportional to 3,782.67, 5,675.87 and 1,704.19 is: 2,557.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.67 : 5,675.87 = 1,704.19 : x
  2. Step 2: Convert to fraction form
    3,782.67/5,675.87 = 1,704.19/x
  3. Step 3: Cross multiply
    3,782.67x = 5,675.87 × 1,704.19
  4. Step 4: Simplify right side
    3,782.67x = 9,672,761.61
  5. Step 5: Solve for x
    x = 9,672,761.61/3,782.67
  6. Step 6: Final answer
    x = 2,557.12

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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.