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Finding the Fourth Proportional to 6,057.84, 9,084.58 and 1,896.60

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Solution

The fourth proportional to 6,057.84, 9,084.58 and 1,896.60 is: 2,844.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.84 : 9,084.58 = 1,896.60 : x
  2. Step 2: Convert to fraction form
    6,057.84/9,084.58 = 1,896.60/x
  3. Step 3: Cross multiply
    6,057.84x = 9,084.58 × 1,896.60
  4. Step 4: Simplify right side
    6,057.84x = 17,229,814.43
  5. Step 5: Solve for x
    x = 17,229,814.43/6,057.84
  6. Step 6: Final answer
    x = 2,844.22

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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.