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Finding the Fourth Proportional to 5,723.20, 7,898.82 and 4,134.99

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Solution

The fourth proportional to 5,723.20, 7,898.82 and 4,134.99 is: 5,706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.20 : 7,898.82 = 4,134.99 : x
  2. Step 2: Convert to fraction form
    5,723.20/7,898.82 = 4,134.99/x
  3. Step 3: Cross multiply
    5,723.20x = 7,898.82 × 4,134.99
  4. Step 4: Simplify right side
    5,723.20x = 32,661,496.59
  5. Step 5: Solve for x
    x = 32,661,496.59/5,723.20
  6. Step 6: Final answer
    x = 5,706.86

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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.