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Finding the Fourth Proportional to 4,723.53, 7,086.26 and 1,647.69

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Solution

The fourth proportional to 4,723.53, 7,086.26 and 1,647.69 is: 2,471.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.53 : 7,086.26 = 1,647.69 : x
  2. Step 2: Convert to fraction form
    4,723.53/7,086.26 = 1,647.69/x
  3. Step 3: Cross multiply
    4,723.53x = 7,086.26 × 1,647.69
  4. Step 4: Simplify right side
    4,723.53x = 11,675,951.50
  5. Step 5: Solve for x
    x = 11,675,951.50/4,723.53
  6. Step 6: Final answer
    x = 2,471.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.