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Finding the Fourth Proportional to 4,122.63, 6,184.87 and 1,311.63

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Solution

The fourth proportional to 4,122.63, 6,184.87 and 1,311.63 is: 1,967.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.63 : 6,184.87 = 1,311.63 : x
  2. Step 2: Convert to fraction form
    4,122.63/6,184.87 = 1,311.63/x
  3. Step 3: Cross multiply
    4,122.63x = 6,184.87 × 1,311.63
  4. Step 4: Simplify right side
    4,122.63x = 8,112,244.05
  5. Step 5: Solve for x
    x = 8,112,244.05/4,122.63
  6. Step 6: Final answer
    x = 1,967.73

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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.