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Finding the Fourth Proportional to 3,284.44, 4,920.17 and 2,463.64

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Solution

The fourth proportional to 3,284.44, 4,920.17 and 2,463.64 is: 3,690.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.44 : 4,920.17 = 2,463.64 : x
  2. Step 2: Convert to fraction form
    3,284.44/4,920.17 = 2,463.64/x
  3. Step 3: Cross multiply
    3,284.44x = 4,920.17 × 2,463.64
  4. Step 4: Simplify right side
    3,284.44x = 12,121,503.02
  5. Step 5: Solve for x
    x = 12,121,503.02/3,284.44
  6. Step 6: Final answer
    x = 3,690.59

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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.