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Finding the Fourth Proportional to 5,311.89, 7,965.41 and 1,614.51

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Solution

The fourth proportional to 5,311.89, 7,965.41 and 1,614.51 is: 2,421.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.89 : 7,965.41 = 1,614.51 : x
  2. Step 2: Convert to fraction form
    5,311.89/7,965.41 = 1,614.51/x
  3. Step 3: Cross multiply
    5,311.89x = 7,965.41 × 1,614.51
  4. Step 4: Simplify right side
    5,311.89x = 12,860,226.03
  5. Step 5: Solve for x
    x = 12,860,226.03/5,311.89
  6. Step 6: Final answer
    x = 2,421.03

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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.