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Finding the Fourth Proportional to 3,651.42, 5,481.83 and 3,134.74

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Solution

The fourth proportional to 3,651.42, 5,481.83 and 3,134.74 is: 4,706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.42 : 5,481.83 = 3,134.74 : x
  2. Step 2: Convert to fraction form
    3,651.42/5,481.83 = 3,134.74/x
  3. Step 3: Cross multiply
    3,651.42x = 5,481.83 × 3,134.74
  4. Step 4: Simplify right side
    3,651.42x = 17,184,084.37
  5. Step 5: Solve for x
    x = 17,184,084.37/3,651.42
  6. Step 6: Final answer
    x = 4,706.14

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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.