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Finding the Fourth Proportional to 4,164.60, 6,246.90 and 3,467.64

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Solution

The fourth proportional to 4,164.60, 6,246.90 and 3,467.64 is: 5,201.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.60 : 6,246.90 = 3,467.64 : x
  2. Step 2: Convert to fraction form
    4,164.60/6,246.90 = 3,467.64/x
  3. Step 3: Cross multiply
    4,164.60x = 6,246.90 × 3,467.64
  4. Step 4: Simplify right side
    4,164.60x = 21,662,000.32
  5. Step 5: Solve for x
    x = 21,662,000.32/4,164.60
  6. Step 6: Final answer
    x = 5,201.46

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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.