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Finding the Fourth Proportional to 5,311.70, 7,967.85 and 1,614.05

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Solution

The fourth proportional to 5,311.70, 7,967.85 and 1,614.05 is: 2,421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.70 : 7,967.85 = 1,614.05 : x
  2. Step 2: Convert to fraction form
    5,311.70/7,967.85 = 1,614.05/x
  3. Step 3: Cross multiply
    5,311.70x = 7,967.85 × 1,614.05
  4. Step 4: Simplify right side
    5,311.70x = 12,860,508.29
  5. Step 5: Solve for x
    x = 12,860,508.29/5,311.70
  6. Step 6: Final answer
    x = 2,421.17

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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.