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Finding the Fourth Proportional to 4,709.72, 7,064.57 and 2,760.86

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Solution

The fourth proportional to 4,709.72, 7,064.57 and 2,760.86 is: 4,141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.72 : 7,064.57 = 2,760.86 : x
  2. Step 2: Convert to fraction form
    4,709.72/7,064.57 = 2,760.86/x
  3. Step 3: Cross multiply
    4,709.72x = 7,064.57 × 2,760.86
  4. Step 4: Simplify right side
    4,709.72x = 19,504,260.31
  5. Step 5: Solve for x
    x = 19,504,260.31/4,709.72
  6. Step 6: Final answer
    x = 4,141.28

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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.