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Finding the Fourth Proportional to 4,156.21, 6,235.68 and 1,524.22

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Solution

The fourth proportional to 4,156.21, 6,235.68 and 1,524.22 is: 2,286.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.21 : 6,235.68 = 1,524.22 : x
  2. Step 2: Convert to fraction form
    4,156.21/6,235.68 = 1,524.22/x
  3. Step 3: Cross multiply
    4,156.21x = 6,235.68 × 1,524.22
  4. Step 4: Simplify right side
    4,156.21x = 9,504,538.30
  5. Step 5: Solve for x
    x = 9,504,538.30/4,156.21
  6. Step 6: Final answer
    x = 2,286.83

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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.