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Finding the Fourth Proportional to 3,997.95, 5,996.61 and 2,533.89

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Solution

The fourth proportional to 3,997.95, 5,996.61 and 2,533.89 is: 3,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.95 : 5,996.61 = 2,533.89 : x
  2. Step 2: Convert to fraction form
    3,997.95/5,996.61 = 2,533.89/x
  3. Step 3: Cross multiply
    3,997.95x = 5,996.61 × 2,533.89
  4. Step 4: Simplify right side
    3,997.95x = 15,194,750.11
  5. Step 5: Solve for x
    x = 15,194,750.11/3,997.95
  6. Step 6: Final answer
    x = 3,800.64

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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.