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Finding the Fourth Proportional to 4,752.37, 7,130.09 and 2,286.86

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Solution

The fourth proportional to 4,752.37, 7,130.09 and 2,286.86 is: 3,431.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.37 : 7,130.09 = 2,286.86 : x
  2. Step 2: Convert to fraction form
    4,752.37/7,130.09 = 2,286.86/x
  3. Step 3: Cross multiply
    4,752.37x = 7,130.09 × 2,286.86
  4. Step 4: Simplify right side
    4,752.37x = 16,305,517.62
  5. Step 5: Solve for x
    x = 16,305,517.62/4,752.37
  6. Step 6: Final answer
    x = 3,431.03

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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.