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Finding the Fourth Proportional to 3,664.36, 5,497.22 and 1,200.91

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Solution

The fourth proportional to 3,664.36, 5,497.22 and 1,200.91 is: 1,801.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.36 : 5,497.22 = 1,200.91 : x
  2. Step 2: Convert to fraction form
    3,664.36/5,497.22 = 1,200.91/x
  3. Step 3: Cross multiply
    3,664.36x = 5,497.22 × 1,200.91
  4. Step 4: Simplify right side
    3,664.36x = 6,601,666.47
  5. Step 5: Solve for x
    x = 6,601,666.47/3,664.36
  6. Step 6: Final answer
    x = 1,801.59

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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.