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Finding the Fourth Proportional to 3,471.18, 5,201.90 and 2,314.50

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Solution

The fourth proportional to 3,471.18, 5,201.90 and 2,314.50 is: 3,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.18 : 5,201.90 = 2,314.50 : x
  2. Step 2: Convert to fraction form
    3,471.18/5,201.90 = 2,314.50/x
  3. Step 3: Cross multiply
    3,471.18x = 5,201.90 × 2,314.50
  4. Step 4: Simplify right side
    3,471.18x = 12,039,797.55
  5. Step 5: Solve for x
    x = 12,039,797.55/3,471.18
  6. Step 6: Final answer
    x = 3,468.50

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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.