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Finding the Fourth Proportional to 3,764.96, 5,189.64 and 2,967.02

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Solution

The fourth proportional to 3,764.96, 5,189.64 and 2,967.02 is: 4,089.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.96 : 5,189.64 = 2,967.02 : x
  2. Step 2: Convert to fraction form
    3,764.96/5,189.64 = 2,967.02/x
  3. Step 3: Cross multiply
    3,764.96x = 5,189.64 × 2,967.02
  4. Step 4: Simplify right side
    3,764.96x = 15,397,765.67
  5. Step 5: Solve for x
    x = 15,397,765.67/3,764.96
  6. Step 6: Final answer
    x = 4,089.76

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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.