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Finding the Fourth Proportional to 5,378.82, 8,066.75 and 3,814.20

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Solution

The fourth proportional to 5,378.82, 8,066.75 and 3,814.20 is: 5,720.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.82 : 8,066.75 = 3,814.20 : x
  2. Step 2: Convert to fraction form
    5,378.82/8,066.75 = 3,814.20/x
  3. Step 3: Cross multiply
    5,378.82x = 8,066.75 × 3,814.20
  4. Step 4: Simplify right side
    5,378.82x = 30,768,197.85
  5. Step 5: Solve for x
    x = 30,768,197.85/5,378.82
  6. Step 6: Final answer
    x = 5,720.25

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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.