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Finding the Fourth Proportional to 3,665.62, 5,502.09 and 2,022.94

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Solution

The fourth proportional to 3,665.62, 5,502.09 and 2,022.94 is: 3,036.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.62 : 5,502.09 = 2,022.94 : x
  2. Step 2: Convert to fraction form
    3,665.62/5,502.09 = 2,022.94/x
  3. Step 3: Cross multiply
    3,665.62x = 5,502.09 × 2,022.94
  4. Step 4: Simplify right side
    3,665.62x = 11,130,412.41
  5. Step 5: Solve for x
    x = 11,130,412.41/3,665.62
  6. Step 6: Final answer
    x = 3,036.43

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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.