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Finding the Fourth Proportional to 5,478.85, 8,220.30 and 2,194.30

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Solution

The fourth proportional to 5,478.85, 8,220.30 and 2,194.30 is: 3,292.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.85 : 8,220.30 = 2,194.30 : x
  2. Step 2: Convert to fraction form
    5,478.85/8,220.30 = 2,194.30/x
  3. Step 3: Cross multiply
    5,478.85x = 8,220.30 × 2,194.30
  4. Step 4: Simplify right side
    5,478.85x = 18,037,804.29
  5. Step 5: Solve for x
    x = 18,037,804.29/5,478.85
  6. Step 6: Final answer
    x = 3,292.26

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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.