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Finding the Fourth Proportional to 5,478.40, 8,212.20 and 2,702.80

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Solution

The fourth proportional to 5,478.40, 8,212.20 and 2,702.80 is: 4,051.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.40 : 8,212.20 = 2,702.80 : x
  2. Step 2: Convert to fraction form
    5,478.40/8,212.20 = 2,702.80/x
  3. Step 3: Cross multiply
    5,478.40x = 8,212.20 × 2,702.80
  4. Step 4: Simplify right side
    5,478.40x = 22,195,934.16
  5. Step 5: Solve for x
    x = 22,195,934.16/5,478.40
  6. Step 6: Final answer
    x = 4,051.54

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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.