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Finding the Fourth Proportional to 4,174.64, 5,760.83 and 2,286.19

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Solution

The fourth proportional to 4,174.64, 5,760.83 and 2,286.19 is: 3,154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.64 : 5,760.83 = 2,286.19 : x
  2. Step 2: Convert to fraction form
    4,174.64/5,760.83 = 2,286.19/x
  3. Step 3: Cross multiply
    4,174.64x = 5,760.83 × 2,286.19
  4. Step 4: Simplify right side
    4,174.64x = 13,170,364.85
  5. Step 5: Solve for x
    x = 13,170,364.85/4,174.64
  6. Step 6: Final answer
    x = 3,154.85

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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.