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Finding the Fourth Proportional to 5,474.59, 8,212.69 and 2,011.57

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Solution

The fourth proportional to 5,474.59, 8,212.69 and 2,011.57 is: 3,017.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.59 : 8,212.69 = 2,011.57 : x
  2. Step 2: Convert to fraction form
    5,474.59/8,212.69 = 2,011.57/x
  3. Step 3: Cross multiply
    5,474.59x = 8,212.69 × 2,011.57
  4. Step 4: Simplify right side
    5,474.59x = 16,520,400.82
  5. Step 5: Solve for x
    x = 16,520,400.82/5,474.59
  6. Step 6: Final answer
    x = 3,017.65

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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.