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Finding the Fourth Proportional to 3,796.14, 5,234.85 and 2,303.82

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Solution

The fourth proportional to 3,796.14, 5,234.85 and 2,303.82 is: 3,176.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.14 : 5,234.85 = 2,303.82 : x
  2. Step 2: Convert to fraction form
    3,796.14/5,234.85 = 2,303.82/x
  3. Step 3: Cross multiply
    3,796.14x = 5,234.85 × 2,303.82
  4. Step 4: Simplify right side
    3,796.14x = 12,060,152.13
  5. Step 5: Solve for x
    x = 12,060,152.13/3,796.14
  6. Step 6: Final answer
    x = 3,176.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.