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Finding the Fourth Proportional to 5,213.66, 7,820.43 and 2,094.46

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Solution

The fourth proportional to 5,213.66, 7,820.43 and 2,094.46 is: 3,141.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.66 : 7,820.43 = 2,094.46 : x
  2. Step 2: Convert to fraction form
    5,213.66/7,820.43 = 2,094.46/x
  3. Step 3: Cross multiply
    5,213.66x = 7,820.43 × 2,094.46
  4. Step 4: Simplify right side
    5,213.66x = 16,379,577.82
  5. Step 5: Solve for x
    x = 16,379,577.82/5,213.66
  6. Step 6: Final answer
    x = 3,141.67

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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.