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Finding the Fourth Proportional to 6,057.10, 9,085.65 and 3,859.30

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Solution

The fourth proportional to 6,057.10, 9,085.65 and 3,859.30 is: 5,788.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.10 : 9,085.65 = 3,859.30 : x
  2. Step 2: Convert to fraction form
    6,057.10/9,085.65 = 3,859.30/x
  3. Step 3: Cross multiply
    6,057.10x = 9,085.65 × 3,859.30
  4. Step 4: Simplify right side
    6,057.10x = 35,064,249.05
  5. Step 5: Solve for x
    x = 35,064,249.05/6,057.10
  6. Step 6: Final answer
    x = 5,788.95

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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.