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Finding the Fourth Proportional to 4,819.94, 7,234.04 and 3,436.66

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Solution

The fourth proportional to 4,819.94, 7,234.04 and 3,436.66 is: 5,157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819.94 : 7,234.04 = 3,436.66 : x
  2. Step 2: Convert to fraction form
    4,819.94/7,234.04 = 3,436.66/x
  3. Step 3: Cross multiply
    4,819.94x = 7,234.04 × 3,436.66
  4. Step 4: Simplify right side
    4,819.94x = 24,860,935.91
  5. Step 5: Solve for x
    x = 24,860,935.91/4,819.94
  6. Step 6: Final answer
    x = 5,157.93

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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.