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Finding the Fourth Proportional to 4,287.63, 6,426.32 and 2,208.63

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Solution

The fourth proportional to 4,287.63, 6,426.32 and 2,208.63 is: 3,310.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.63 : 6,426.32 = 2,208.63 : x
  2. Step 2: Convert to fraction form
    4,287.63/6,426.32 = 2,208.63/x
  3. Step 3: Cross multiply
    4,287.63x = 6,426.32 × 2,208.63
  4. Step 4: Simplify right side
    4,287.63x = 14,193,352.10
  5. Step 5: Solve for x
    x = 14,193,352.10/4,287.63
  6. Step 6: Final answer
    x = 3,310.30

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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.