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Finding the Fourth Proportional to 3,814.56, 5,716.32 and 1,864.56

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Solution

The fourth proportional to 3,814.56, 5,716.32 and 1,864.56 is: 2,794.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.56 : 5,716.32 = 1,864.56 : x
  2. Step 2: Convert to fraction form
    3,814.56/5,716.32 = 1,864.56/x
  3. Step 3: Cross multiply
    3,814.56x = 5,716.32 × 1,864.56
  4. Step 4: Simplify right side
    3,814.56x = 10,658,421.62
  5. Step 5: Solve for x
    x = 10,658,421.62/3,814.56
  6. Step 6: Final answer
    x = 2,794.14

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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.