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Finding the Fourth Proportional to 3,471.20, 5,206.80 and 3,190.40

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Solution

The fourth proportional to 3,471.20, 5,206.80 and 3,190.40 is: 4,785.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.20 : 5,206.80 = 3,190.40 : x
  2. Step 2: Convert to fraction form
    3,471.20/5,206.80 = 3,190.40/x
  3. Step 3: Cross multiply
    3,471.20x = 5,206.80 × 3,190.40
  4. Step 4: Simplify right side
    3,471.20x = 16,611,774.72
  5. Step 5: Solve for x
    x = 16,611,774.72/3,471.20
  6. Step 6: Final answer
    x = 4,785.60

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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.