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Finding the Fourth Proportional to 4,213.12, 5,808.96 and 2,968.96

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Solution

The fourth proportional to 4,213.12, 5,808.96 and 2,968.96 is: 4,093.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.12 : 5,808.96 = 2,968.96 : x
  2. Step 2: Convert to fraction form
    4,213.12/5,808.96 = 2,968.96/x
  3. Step 3: Cross multiply
    4,213.12x = 5,808.96 × 2,968.96
  4. Step 4: Simplify right side
    4,213.12x = 17,246,569.88
  5. Step 5: Solve for x
    x = 17,246,569.88/4,213.12
  6. Step 6: Final answer
    x = 4,093.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.