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Finding the Fourth Proportional to 4,189.60, 6,284.40 and 2,634.40

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Solution

The fourth proportional to 4,189.60, 6,284.40 and 2,634.40 is: 3,951.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.60 : 6,284.40 = 2,634.40 : x
  2. Step 2: Convert to fraction form
    4,189.60/6,284.40 = 2,634.40/x
  3. Step 3: Cross multiply
    4,189.60x = 6,284.40 × 2,634.40
  4. Step 4: Simplify right side
    4,189.60x = 16,555,623.36
  5. Step 5: Solve for x
    x = 16,555,623.36/4,189.60
  6. Step 6: Final answer
    x = 3,951.60

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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.