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Finding the Fourth Proportional to 6,344.85, 9,519.41 and 3,057.57

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Solution

The fourth proportional to 6,344.85, 9,519.41 and 3,057.57 is: 4,587.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.85 : 9,519.41 = 3,057.57 : x
  2. Step 2: Convert to fraction form
    6,344.85/9,519.41 = 3,057.57/x
  3. Step 3: Cross multiply
    6,344.85x = 9,519.41 × 3,057.57
  4. Step 4: Simplify right side
    6,344.85x = 29,106,262.43
  5. Step 5: Solve for x
    x = 29,106,262.43/6,344.85
  6. Step 6: Final answer
    x = 4,587.38

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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.