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Finding the Fourth Proportional to 3,284.34, 4,563.89 and 3,250.63

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Solution

The fourth proportional to 3,284.34, 4,563.89 and 3,250.63 is: 4,517.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.34 : 4,563.89 = 3,250.63 : x
  2. Step 2: Convert to fraction form
    3,284.34/4,563.89 = 3,250.63/x
  3. Step 3: Cross multiply
    3,284.34x = 4,563.89 × 3,250.63
  4. Step 4: Simplify right side
    3,284.34x = 14,835,517.75
  5. Step 5: Solve for x
    x = 14,835,517.75/3,284.34
  6. Step 6: Final answer
    x = 4,517.05

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.