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Finding the Fourth Proportional to 5,704.11, 8,558.89 and 2,780.82

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Solution

The fourth proportional to 5,704.11, 8,558.89 and 2,780.82 is: 4,172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.11 : 8,558.89 = 2,780.82 : x
  2. Step 2: Convert to fraction form
    5,704.11/8,558.89 = 2,780.82/x
  3. Step 3: Cross multiply
    5,704.11x = 8,558.89 × 2,780.82
  4. Step 4: Simplify right side
    5,704.11x = 23,800,689.70
  5. Step 5: Solve for x
    x = 23,800,689.70/5,704.11
  6. Step 6: Final answer
    x = 4,172.55

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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.