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Finding the Fourth Proportional to 4,222.72, 6,336.72 and 2,033.72

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Solution

The fourth proportional to 4,222.72, 6,336.72 and 2,033.72 is: 3,051.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222.72 : 6,336.72 = 2,033.72 : x
  2. Step 2: Convert to fraction form
    4,222.72/6,336.72 = 2,033.72/x
  3. Step 3: Cross multiply
    4,222.72x = 6,336.72 × 2,033.72
  4. Step 4: Simplify right side
    4,222.72x = 12,887,114.20
  5. Step 5: Solve for x
    x = 12,887,114.20/4,222.72
  6. Step 6: Final answer
    x = 3,051.85

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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.