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Finding the Fourth Proportional to 5,114.19, 7,670.42 and 1,651.44

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Solution

The fourth proportional to 5,114.19, 7,670.42 and 1,651.44 is: 2,476.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.19 : 7,670.42 = 1,651.44 : x
  2. Step 2: Convert to fraction form
    5,114.19/7,670.42 = 1,651.44/x
  3. Step 3: Cross multiply
    5,114.19x = 7,670.42 × 1,651.44
  4. Step 4: Simplify right side
    5,114.19x = 12,667,230.15
  5. Step 5: Solve for x
    x = 12,667,230.15/5,114.19
  6. Step 6: Final answer
    x = 2,476.88

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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.