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Finding the Fourth Proportional to 5,094.82, 7,643.76 and 4,213.34

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Solution

The fourth proportional to 5,094.82, 7,643.76 and 4,213.34 is: 6,321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.82 : 7,643.76 = 4,213.34 : x
  2. Step 2: Convert to fraction form
    5,094.82/7,643.76 = 4,213.34/x
  3. Step 3: Cross multiply
    5,094.82x = 7,643.76 × 4,213.34
  4. Step 4: Simplify right side
    5,094.82x = 32,205,759.76
  5. Step 5: Solve for x
    x = 32,205,759.76/5,094.82
  6. Step 6: Final answer
    x = 6,321.28

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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.