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Finding the Fourth Proportional to 3,284.44, 4,930.02 and 2,561.92

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Solution

The fourth proportional to 3,284.44, 4,930.02 and 2,561.92 is: 3,845.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.44 : 4,930.02 = 2,561.92 : x
  2. Step 2: Convert to fraction form
    3,284.44/4,930.02 = 2,561.92/x
  3. Step 3: Cross multiply
    3,284.44x = 4,930.02 × 2,561.92
  4. Step 4: Simplify right side
    3,284.44x = 12,630,316.84
  5. Step 5: Solve for x
    x = 12,630,316.84/3,284.44
  6. Step 6: Final answer
    x = 3,845.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.