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Finding the Fourth Proportional to 4,222.49, 6,337.98 and 3,927.24

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Solution

The fourth proportional to 4,222.49, 6,337.98 and 3,927.24 is: 5,894.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222.49 : 6,337.98 = 3,927.24 : x
  2. Step 2: Convert to fraction form
    4,222.49/6,337.98 = 3,927.24/x
  3. Step 3: Cross multiply
    4,222.49x = 6,337.98 × 3,927.24
  4. Step 4: Simplify right side
    4,222.49x = 24,890,768.58
  5. Step 5: Solve for x
    x = 24,890,768.58/4,222.49
  6. Step 6: Final answer
    x = 5,894.82

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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.