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Finding the Fourth Proportional to 5,866.85, 8,096.22 and 3,214.27

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Solution

The fourth proportional to 5,866.85, 8,096.22 and 3,214.27 is: 4,435.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.85 : 8,096.22 = 3,214.27 : x
  2. Step 2: Convert to fraction form
    5,866.85/8,096.22 = 3,214.27/x
  3. Step 3: Cross multiply
    5,866.85x = 8,096.22 × 3,214.27
  4. Step 4: Simplify right side
    5,866.85x = 26,023,437.06
  5. Step 5: Solve for x
    x = 26,023,437.06/5,866.85
  6. Step 6: Final answer
    x = 4,435.67

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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.