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Finding the Fourth Proportional to 4,165.56, 6,235.44 and 2,286.78

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Solution

The fourth proportional to 4,165.56, 6,235.44 and 2,286.78 is: 3,423.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.56 : 6,235.44 = 2,286.78 : x
  2. Step 2: Convert to fraction form
    4,165.56/6,235.44 = 2,286.78/x
  3. Step 3: Cross multiply
    4,165.56x = 6,235.44 × 2,286.78
  4. Step 4: Simplify right side
    4,165.56x = 14,259,079.48
  5. Step 5: Solve for x
    x = 14,259,079.48/4,165.56
  6. Step 6: Final answer
    x = 3,423.09

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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.