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Finding the Fourth Proportional to 4,222.35, 6,337.35 and 2,143.80

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Solution

The fourth proportional to 4,222.35, 6,337.35 and 2,143.80 is: 3,217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222.35 : 6,337.35 = 2,143.80 : x
  2. Step 2: Convert to fraction form
    4,222.35/6,337.35 = 2,143.80/x
  3. Step 3: Cross multiply
    4,222.35x = 6,337.35 × 2,143.80
  4. Step 4: Simplify right side
    4,222.35x = 13,586,010.93
  5. Step 5: Solve for x
    x = 13,586,010.93/4,222.35
  6. Step 6: Final answer
    x = 3,217.64

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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.