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Finding the Fourth Proportional to 4,321.72, 5,961.89 and 4,154.05

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Solution

The fourth proportional to 4,321.72, 5,961.89 and 4,154.05 is: 5,730.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.72 : 5,961.89 = 4,154.05 : x
  2. Step 2: Convert to fraction form
    4,321.72/5,961.89 = 4,154.05/x
  3. Step 3: Cross multiply
    4,321.72x = 5,961.89 × 4,154.05
  4. Step 4: Simplify right side
    4,321.72x = 24,765,984.63
  5. Step 5: Solve for x
    x = 24,765,984.63/4,321.72
  6. Step 6: Final answer
    x = 5,730.59

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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.