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Finding the Fourth Proportional to 5,811.86, 8,020.14 and 3,294.12

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Solution

The fourth proportional to 5,811.86, 8,020.14 and 3,294.12 is: 4,545.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.86 : 8,020.14 = 3,294.12 : x
  2. Step 2: Convert to fraction form
    5,811.86/8,020.14 = 3,294.12/x
  3. Step 3: Cross multiply
    5,811.86x = 8,020.14 × 3,294.12
  4. Step 4: Simplify right side
    5,811.86x = 26,419,303.58
  5. Step 5: Solve for x
    x = 26,419,303.58/5,811.86
  6. Step 6: Final answer
    x = 4,545.76

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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.