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Finding the Fourth Proportional to 5,709.65, 8,558.52 and 2,198.69

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Solution

The fourth proportional to 5,709.65, 8,558.52 and 2,198.69 is: 3,295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.65 : 8,558.52 = 2,198.69 : x
  2. Step 2: Convert to fraction form
    5,709.65/8,558.52 = 2,198.69/x
  3. Step 3: Cross multiply
    5,709.65x = 8,558.52 × 2,198.69
  4. Step 4: Simplify right side
    5,709.65x = 18,817,532.34
  5. Step 5: Solve for x
    x = 18,817,532.34/5,709.65
  6. Step 6: Final answer
    x = 3,295.74

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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.