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Finding the Fourth Proportional to 6,057.78, 8,359.91 and 3,405.43

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Solution

The fourth proportional to 6,057.78, 8,359.91 and 3,405.43 is: 4,699.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.78 : 8,359.91 = 3,405.43 : x
  2. Step 2: Convert to fraction form
    6,057.78/8,359.91 = 3,405.43/x
  3. Step 3: Cross multiply
    6,057.78x = 8,359.91 × 3,405.43
  4. Step 4: Simplify right side
    6,057.78x = 28,469,088.31
  5. Step 5: Solve for x
    x = 28,469,088.31/6,057.78
  6. Step 6: Final answer
    x = 4,699.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.