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Finding the Fourth Proportional to 3,464.54, 5,192.68 and 2,000.60

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Solution

The fourth proportional to 3,464.54, 5,192.68 and 2,000.60 is: 2,998.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.54 : 5,192.68 = 2,000.60 : x
  2. Step 2: Convert to fraction form
    3,464.54/5,192.68 = 2,000.60/x
  3. Step 3: Cross multiply
    3,464.54x = 5,192.68 × 2,000.60
  4. Step 4: Simplify right side
    3,464.54x = 10,388,475.61
  5. Step 5: Solve for x
    x = 10,388,475.61/3,464.54
  6. Step 6: Final answer
    x = 2,998.52

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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.