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Finding the Fourth Proportional to 4,154.60, 6,234.22 and 2,206.75

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Solution

The fourth proportional to 4,154.60, 6,234.22 and 2,206.75 is: 3,311.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.60 : 6,234.22 = 2,206.75 : x
  2. Step 2: Convert to fraction form
    4,154.60/6,234.22 = 2,206.75/x
  3. Step 3: Cross multiply
    4,154.60x = 6,234.22 × 2,206.75
  4. Step 4: Simplify right side
    4,154.60x = 13,757,364.99
  5. Step 5: Solve for x
    x = 13,757,364.99/4,154.60
  6. Step 6: Final answer
    x = 3,311.36

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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.