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Finding the Fourth Proportional to 5,475.08, 8,212.20 and 2,012

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Solution

The fourth proportional to 5,475.08, 8,212.20 and 2,012 is: 3,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.08 : 8,212.20 = 2,012 : x
  2. Step 2: Convert to fraction form
    5,475.08/8,212.20 = 2,012/x
  3. Step 3: Cross multiply
    5,475.08x = 8,212.20 × 2,012
  4. Step 4: Simplify right side
    5,475.08x = 16,522,946.40
  5. Step 5: Solve for x
    x = 16,522,946.40/5,475.08
  6. Step 6: Final answer
    x = 3,017.85

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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.