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Finding the Fourth Proportional to 5,813.96, 8,020.64 and 3,924.96

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Solution

The fourth proportional to 5,813.96, 8,020.64 and 3,924.96 is: 5,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.96 : 8,020.64 = 3,924.96 : x
  2. Step 2: Convert to fraction form
    5,813.96/8,020.64 = 3,924.96/x
  3. Step 3: Cross multiply
    5,813.96x = 8,020.64 × 3,924.96
  4. Step 4: Simplify right side
    5,813.96x = 31,480,691.17
  5. Step 5: Solve for x
    x = 31,480,691.17/5,813.96
  6. Step 6: Final answer
    x = 5,414.67

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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.