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Finding the Fourth Proportional to 3,664.83, 5,497.50 and 1,473.56

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Solution

The fourth proportional to 3,664.83, 5,497.50 and 1,473.56 is: 2,210.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.83 : 5,497.50 = 1,473.56 : x
  2. Step 2: Convert to fraction form
    3,664.83/5,497.50 = 1,473.56/x
  3. Step 3: Cross multiply
    3,664.83x = 5,497.50 × 1,473.56
  4. Step 4: Simplify right side
    3,664.83x = 8,100,896.10
  5. Step 5: Solve for x
    x = 8,100,896.10/3,664.83
  6. Step 6: Final answer
    x = 2,210.44

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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.