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Finding the Fourth Proportional to 5,213.70, 7,820.56 and 1,318.11

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Solution

The fourth proportional to 5,213.70, 7,820.56 and 1,318.11 is: 1,977.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.70 : 7,820.56 = 1,318.11 : x
  2. Step 2: Convert to fraction form
    5,213.70/7,820.56 = 1,318.11/x
  3. Step 3: Cross multiply
    5,213.70x = 7,820.56 × 1,318.11
  4. Step 4: Simplify right side
    5,213.70x = 10,308,353.40
  5. Step 5: Solve for x
    x = 10,308,353.40/5,213.70
  6. Step 6: Final answer
    x = 1,977.17

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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.