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Finding the Fourth Proportional to 3,474.46, 5,211.74 and 1,165.96

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Solution

The fourth proportional to 3,474.46, 5,211.74 and 1,165.96 is: 1,748.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.46 : 5,211.74 = 1,165.96 : x
  2. Step 2: Convert to fraction form
    3,474.46/5,211.74 = 1,165.96/x
  3. Step 3: Cross multiply
    3,474.46x = 5,211.74 × 1,165.96
  4. Step 4: Simplify right side
    3,474.46x = 6,076,680.37
  5. Step 5: Solve for x
    x = 6,076,680.37/3,474.46
  6. Step 6: Final answer
    x = 1,748.96

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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.