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Finding the Fourth Proportional to 3,541.88, 5,309.93 and 2,171

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Solution

The fourth proportional to 3,541.88, 5,309.93 and 2,171 is: 3,254.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.88 : 5,309.93 = 2,171 : x
  2. Step 2: Convert to fraction form
    3,541.88/5,309.93 = 2,171/x
  3. Step 3: Cross multiply
    3,541.88x = 5,309.93 × 2,171
  4. Step 4: Simplify right side
    3,541.88x = 11,527,847.18
  5. Step 5: Solve for x
    x = 11,527,847.18/3,541.88
  6. Step 6: Final answer
    x = 3,254.73

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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.