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Finding the Fourth Proportional to 5,755.70, 8,632.62 and 2,057.30

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Solution

The fourth proportional to 5,755.70, 8,632.62 and 2,057.30 is: 3,085.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.70 : 8,632.62 = 2,057.30 : x
  2. Step 2: Convert to fraction form
    5,755.70/8,632.62 = 2,057.30/x
  3. Step 3: Cross multiply
    5,755.70x = 8,632.62 × 2,057.30
  4. Step 4: Simplify right side
    5,755.70x = 17,759,889.13
  5. Step 5: Solve for x
    x = 17,759,889.13/5,755.70
  6. Step 6: Final answer
    x = 3,085.62

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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.