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Finding the Fourth Proportional to 6,057.66, 8,354.42 and 4,172.30

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Solution

The fourth proportional to 6,057.66, 8,354.42 and 4,172.30 is: 5,754.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.66 : 8,354.42 = 4,172.30 : x
  2. Step 2: Convert to fraction form
    6,057.66/8,354.42 = 4,172.30/x
  3. Step 3: Cross multiply
    6,057.66x = 8,354.42 × 4,172.30
  4. Step 4: Simplify right side
    6,057.66x = 34,857,104.79
  5. Step 5: Solve for x
    x = 34,857,104.79/6,057.66
  6. Step 6: Final answer
    x = 5,754.22

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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.