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Finding the Fourth Proportional to 5,213.96, 7,820.31 and 1,318.40

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Solution

The fourth proportional to 5,213.96, 7,820.31 and 1,318.40 is: 1,977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.96 : 7,820.31 = 1,318.40 : x
  2. Step 2: Convert to fraction form
    5,213.96/7,820.31 = 1,318.40/x
  3. Step 3: Cross multiply
    5,213.96x = 7,820.31 × 1,318.40
  4. Step 4: Simplify right side
    5,213.96x = 10,310,296.70
  5. Step 5: Solve for x
    x = 10,310,296.70/5,213.96
  6. Step 6: Final answer
    x = 1,977.44

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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.