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Finding the Fourth Proportional to 3,540.77, 5,305.61 and 2,239.50

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Solution

The fourth proportional to 3,540.77, 5,305.61 and 2,239.50 is: 3,355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.77 : 5,305.61 = 2,239.50 : x
  2. Step 2: Convert to fraction form
    3,540.77/5,305.61 = 2,239.50/x
  3. Step 3: Cross multiply
    3,540.77x = 5,305.61 × 2,239.50
  4. Step 4: Simplify right side
    3,540.77x = 11,881,919.19
  5. Step 5: Solve for x
    x = 11,881,919.19/3,540.77
  6. Step 6: Final answer
    x = 3,355.75

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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.