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Finding the Fourth Proportional to 5,811.44, 8,019.36 and 3,825.92

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Solution

The fourth proportional to 5,811.44, 8,019.36 and 3,825.92 is: 5,279.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.44 : 8,019.36 = 3,825.92 : x
  2. Step 2: Convert to fraction form
    5,811.44/8,019.36 = 3,825.92/x
  3. Step 3: Cross multiply
    5,811.44x = 8,019.36 × 3,825.92
  4. Step 4: Simplify right side
    5,811.44x = 30,681,429.81
  5. Step 5: Solve for x
    x = 30,681,429.81/5,811.44
  6. Step 6: Final answer
    x = 5,279.49

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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.