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Finding the Fourth Proportional to 5,814.80, 8,019.12 and 3,824.64

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Solution

The fourth proportional to 5,814.80, 8,019.12 and 3,824.64 is: 5,274.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.80 : 8,019.12 = 3,824.64 : x
  2. Step 2: Convert to fraction form
    5,814.80/8,019.12 = 3,824.64/x
  3. Step 3: Cross multiply
    5,814.80x = 8,019.12 × 3,824.64
  4. Step 4: Simplify right side
    5,814.80x = 30,670,247.12
  5. Step 5: Solve for x
    x = 30,670,247.12/5,814.80
  6. Step 6: Final answer
    x = 5,274.51

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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.