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Finding the Fourth Proportional to 3,775.50, 5,659.14 and 3,226.02

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Solution

The fourth proportional to 3,775.50, 5,659.14 and 3,226.02 is: 4,835.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.50 : 5,659.14 = 3,226.02 : x
  2. Step 2: Convert to fraction form
    3,775.50/5,659.14 = 3,226.02/x
  3. Step 3: Cross multiply
    3,775.50x = 5,659.14 × 3,226.02
  4. Step 4: Simplify right side
    3,775.50x = 18,256,498.82
  5. Step 5: Solve for x
    x = 18,256,498.82/3,775.50
  6. Step 6: Final answer
    x = 4,835.52

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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.