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Finding the Fourth Proportional to 6,057.38, 9,087.10 and 1,896.57

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Solution

The fourth proportional to 6,057.38, 9,087.10 and 1,896.57 is: 2,845.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.38 : 9,087.10 = 1,896.57 : x
  2. Step 2: Convert to fraction form
    6,057.38/9,087.10 = 1,896.57/x
  3. Step 3: Cross multiply
    6,057.38x = 9,087.10 × 1,896.57
  4. Step 4: Simplify right side
    6,057.38x = 17,234,316.51
  5. Step 5: Solve for x
    x = 17,234,316.51/6,057.38
  6. Step 6: Final answer
    x = 2,845.18

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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.