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Finding the Fourth Proportional to 5,657.94, 8,491.77 and 2,197.62

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Solution

The fourth proportional to 5,657.94, 8,491.77 and 2,197.62 is: 3,298.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.94 : 8,491.77 = 2,197.62 : x
  2. Step 2: Convert to fraction form
    5,657.94/8,491.77 = 2,197.62/x
  3. Step 3: Cross multiply
    5,657.94x = 8,491.77 × 2,197.62
  4. Step 4: Simplify right side
    5,657.94x = 18,661,683.59
  5. Step 5: Solve for x
    x = 18,661,683.59/5,657.94
  6. Step 6: Final answer
    x = 3,298.32

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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.