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Finding the Fourth Proportional to 3,464.46, 5,200.29 and 2,006.46

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Solution

The fourth proportional to 3,464.46, 5,200.29 and 2,006.46 is: 3,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.46 : 5,200.29 = 2,006.46 : x
  2. Step 2: Convert to fraction form
    3,464.46/5,200.29 = 2,006.46/x
  3. Step 3: Cross multiply
    3,464.46x = 5,200.29 × 2,006.46
  4. Step 4: Simplify right side
    3,464.46x = 10,434,173.87
  5. Step 5: Solve for x
    x = 10,434,173.87/3,464.46
  6. Step 6: Final answer
    x = 3,011.77

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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.