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Finding the Fourth Proportional to 5,704.56, 8,557.60 and 2,006.48

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Solution

The fourth proportional to 5,704.56, 8,557.60 and 2,006.48 is: 3,009.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.56 : 8,557.60 = 2,006.48 : x
  2. Step 2: Convert to fraction form
    5,704.56/8,557.60 = 2,006.48/x
  3. Step 3: Cross multiply
    5,704.56x = 8,557.60 × 2,006.48
  4. Step 4: Simplify right side
    5,704.56x = 17,170,653.25
  5. Step 5: Solve for x
    x = 17,170,653.25/5,704.56
  6. Step 6: Final answer
    x = 3,009.99

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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.