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Finding the Fourth Proportional to 3,669.08, 5,502.97 and 1,694.62

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Solution

The fourth proportional to 3,669.08, 5,502.97 and 1,694.62 is: 2,541.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.08 : 5,502.97 = 1,694.62 : x
  2. Step 2: Convert to fraction form
    3,669.08/5,502.97 = 1,694.62/x
  3. Step 3: Cross multiply
    3,669.08x = 5,502.97 × 1,694.62
  4. Step 4: Simplify right side
    3,669.08x = 9,325,407.03
  5. Step 5: Solve for x
    x = 9,325,407.03/3,669.08
  6. Step 6: Final answer
    x = 2,541.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.