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Finding the Fourth Proportional to 3,814.56, 5,710.32 and 3,449.52

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Solution

The fourth proportional to 3,814.56, 5,710.32 and 3,449.52 is: 5,163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.56 : 5,710.32 = 3,449.52 : x
  2. Step 2: Convert to fraction form
    3,814.56/5,710.32 = 3,449.52/x
  3. Step 3: Cross multiply
    3,814.56x = 5,710.32 × 3,449.52
  4. Step 4: Simplify right side
    3,814.56x = 19,697,863.05
  5. Step 5: Solve for x
    x = 19,697,863.05/3,814.56
  6. Step 6: Final answer
    x = 5,163.86

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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.