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Finding the Fourth Proportional to 3,276.59, 4,910.70 and 1,427.21

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Solution

The fourth proportional to 3,276.59, 4,910.70 and 1,427.21 is: 2,138.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,276.59 : 4,910.70 = 1,427.21 : x
  2. Step 2: Convert to fraction form
    3,276.59/4,910.70 = 1,427.21/x
  3. Step 3: Cross multiply
    3,276.59x = 4,910.70 × 1,427.21
  4. Step 4: Simplify right side
    3,276.59x = 7,008,575.59
  5. Step 5: Solve for x
    x = 7,008,575.59/3,276.59
  6. Step 6: Final answer
    x = 2,138.99

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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.