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Finding the Fourth Proportional to 5,811.14, 8,019.12 and 3,293.36

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Solution

The fourth proportional to 5,811.14, 8,019.12 and 3,293.36 is: 4,544.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.14 : 8,019.12 = 3,293.36 : x
  2. Step 2: Convert to fraction form
    5,811.14/8,019.12 = 3,293.36/x
  3. Step 3: Cross multiply
    5,811.14x = 8,019.12 × 3,293.36
  4. Step 4: Simplify right side
    5,811.14x = 26,409,849.04
  5. Step 5: Solve for x
    x = 26,409,849.04/5,811.14
  6. Step 6: Final answer
    x = 4,544.69

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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.