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Finding the Fourth Proportional to 3,272.94, 4,911.03 and 2,842.02

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Solution

The fourth proportional to 3,272.94, 4,911.03 and 2,842.02 is: 4,264.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.94 : 4,911.03 = 2,842.02 : x
  2. Step 2: Convert to fraction form
    3,272.94/4,911.03 = 2,842.02/x
  3. Step 3: Cross multiply
    3,272.94x = 4,911.03 × 2,842.02
  4. Step 4: Simplify right side
    3,272.94x = 13,957,245.48
  5. Step 5: Solve for x
    x = 13,957,245.48/3,272.94
  6. Step 6: Final answer
    x = 4,264.44

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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.