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Finding the Fourth Proportional to 4,782.26, 7,165.82 and 3,689.30

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Solution

The fourth proportional to 4,782.26, 7,165.82 and 3,689.30 is: 5,528.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.26 : 7,165.82 = 3,689.30 : x
  2. Step 2: Convert to fraction form
    4,782.26/7,165.82 = 3,689.30/x
  3. Step 3: Cross multiply
    4,782.26x = 7,165.82 × 3,689.30
  4. Step 4: Simplify right side
    4,782.26x = 26,436,859.73
  5. Step 5: Solve for x
    x = 26,436,859.73/4,782.26
  6. Step 6: Final answer
    x = 5,528.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.