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Finding the Fourth Proportional to 4,229.86, 6,340.74 and 2,770.06

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Solution

The fourth proportional to 4,229.86, 6,340.74 and 2,770.06 is: 4,152.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.86 : 6,340.74 = 2,770.06 : x
  2. Step 2: Convert to fraction form
    4,229.86/6,340.74 = 2,770.06/x
  3. Step 3: Cross multiply
    4,229.86x = 6,340.74 × 2,770.06
  4. Step 4: Simplify right side
    4,229.86x = 17,564,230.24
  5. Step 5: Solve for x
    x = 17,564,230.24/4,229.86
  6. Step 6: Final answer
    x = 4,152.44

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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.