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Finding the Fourth Proportional to 5,725.76, 8,589.48 and 2,028.00

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Solution

The fourth proportional to 5,725.76, 8,589.48 and 2,028.00 is: 3,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.76 : 8,589.48 = 2,028.00 : x
  2. Step 2: Convert to fraction form
    5,725.76/8,589.48 = 2,028.00/x
  3. Step 3: Cross multiply
    5,725.76x = 8,589.48 × 2,028.00
  4. Step 4: Simplify right side
    5,725.76x = 17,419,490.05
  5. Step 5: Solve for x
    x = 17,419,490.05/5,725.76
  6. Step 6: Final answer
    x = 3,042.30

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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.