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Finding the Fourth Proportional to 3,467.37, 5,207.32 and 3,189.22

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Solution

The fourth proportional to 3,467.37, 5,207.32 and 3,189.22 is: 4,789.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.37 : 5,207.32 = 3,189.22 : x
  2. Step 2: Convert to fraction form
    3,467.37/5,207.32 = 3,189.22/x
  3. Step 3: Cross multiply
    3,467.37x = 5,207.32 × 3,189.22
  4. Step 4: Simplify right side
    3,467.37x = 16,607,303.37
  5. Step 5: Solve for x
    x = 16,607,303.37/3,467.37
  6. Step 6: Final answer
    x = 4,789.60

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