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Finding the Fourth Proportional to 3,669.56, 5,502.01 and 2,027.24

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Solution

The fourth proportional to 3,669.56, 5,502.01 and 2,027.24 is: 3,039.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.56 : 5,502.01 = 2,027.24 : x
  2. Step 2: Convert to fraction form
    3,669.56/5,502.01 = 2,027.24/x
  3. Step 3: Cross multiply
    3,669.56x = 5,502.01 × 2,027.24
  4. Step 4: Simplify right side
    3,669.56x = 11,153,894.75
  5. Step 5: Solve for x
    x = 11,153,894.75/3,669.56
  6. Step 6: Final answer
    x = 3,039.57

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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.