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Finding the Fourth Proportional to 3,832.45, 5,289.11 and 2,154.13

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Solution

The fourth proportional to 3,832.45, 5,289.11 and 2,154.13 is: 2,972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.45 : 5,289.11 = 2,154.13 : x
  2. Step 2: Convert to fraction form
    3,832.45/5,289.11 = 2,154.13/x
  3. Step 3: Cross multiply
    3,832.45x = 5,289.11 × 2,154.13
  4. Step 4: Simplify right side
    3,832.45x = 11,393,430.52
  5. Step 5: Solve for x
    x = 11,393,430.52/3,832.45
  6. Step 6: Final answer
    x = 2,972.88

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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.