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Finding the Fourth Proportional to 3,699.50, 5,550.36 and 2,139.14

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Solution

The fourth proportional to 3,699.50, 5,550.36 and 2,139.14 is: 3,209.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.50 : 5,550.36 = 2,139.14 : x
  2. Step 2: Convert to fraction form
    3,699.50/5,550.36 = 2,139.14/x
  3. Step 3: Cross multiply
    3,699.50x = 5,550.36 × 2,139.14
  4. Step 4: Simplify right side
    3,699.50x = 11,872,997.09
  5. Step 5: Solve for x
    x = 11,872,997.09/3,699.50
  6. Step 6: Final answer
    x = 3,209.35

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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.