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Finding the Fourth Proportional to 3,700.28, 5,546.70 and 2,057.60

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Solution

The fourth proportional to 3,700.28, 5,546.70 and 2,057.60 is: 3,084.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.28 : 5,546.70 = 2,057.60 : x
  2. Step 2: Convert to fraction form
    3,700.28/5,546.70 = 2,057.60/x
  3. Step 3: Cross multiply
    3,700.28x = 5,546.70 × 2,057.60
  4. Step 4: Simplify right side
    3,700.28x = 11,412,889.92
  5. Step 5: Solve for x
    x = 11,412,889.92/3,700.28
  6. Step 6: Final answer
    x = 3,084.33

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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.