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Finding the Fourth Proportional to 5,105.12, 7,650.59 and 2,325

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Solution

The fourth proportional to 5,105.12, 7,650.59 and 2,325 is: 3,484.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.12 : 7,650.59 = 2,325 : x
  2. Step 2: Convert to fraction form
    5,105.12/7,650.59 = 2,325/x
  3. Step 3: Cross multiply
    5,105.12x = 7,650.59 × 2,325
  4. Step 4: Simplify right side
    5,105.12x = 17,787,621.75
  5. Step 5: Solve for x
    x = 17,787,621.75/5,105.12
  6. Step 6: Final answer
    x = 3,484.27

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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.