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Finding the Fourth Proportional to 5,311.98, 7,969.29 and 1,614.18

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Solution

The fourth proportional to 5,311.98, 7,969.29 and 1,614.18 is: 2,421.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.98 : 7,969.29 = 1,614.18 : x
  2. Step 2: Convert to fraction form
    5,311.98/7,969.29 = 1,614.18/x
  3. Step 3: Cross multiply
    5,311.98x = 7,969.29 × 1,614.18
  4. Step 4: Simplify right side
    5,311.98x = 12,863,868.53
  5. Step 5: Solve for x
    x = 12,863,868.53/5,311.98
  6. Step 6: Final answer
    x = 2,421.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.