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Finding the Fourth Proportional to 5,661.48, 8,489.34 and 2,197.80

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Solution

The fourth proportional to 5,661.48, 8,489.34 and 2,197.80 is: 3,295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.48 : 8,489.34 = 2,197.80 : x
  2. Step 2: Convert to fraction form
    5,661.48/8,489.34 = 2,197.80/x
  3. Step 3: Cross multiply
    5,661.48x = 8,489.34 × 2,197.80
  4. Step 4: Simplify right side
    5,661.48x = 18,657,871.45
  5. Step 5: Solve for x
    x = 18,657,871.45/5,661.48
  6. Step 6: Final answer
    x = 3,295.58

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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.