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Finding the Fourth Proportional to 4,768.62, 7,150.03 and 2,135.64

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Solution

The fourth proportional to 4,768.62, 7,150.03 and 2,135.64 is: 3,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.62 : 7,150.03 = 2,135.64 : x
  2. Step 2: Convert to fraction form
    4,768.62/7,150.03 = 2,135.64/x
  3. Step 3: Cross multiply
    4,768.62x = 7,150.03 × 2,135.64
  4. Step 4: Simplify right side
    4,768.62x = 15,269,890.07
  5. Step 5: Solve for x
    x = 15,269,890.07/4,768.62
  6. Step 6: Final answer
    x = 3,202.16

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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.