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Finding the Fourth Proportional to 3,832.70, 5,289.32 and 2,154.02

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Solution

The fourth proportional to 3,832.70, 5,289.32 and 2,154.02 is: 2,972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.70 : 5,289.32 = 2,154.02 : x
  2. Step 2: Convert to fraction form
    3,832.70/5,289.32 = 2,154.02/x
  3. Step 3: Cross multiply
    3,832.70x = 5,289.32 × 2,154.02
  4. Step 4: Simplify right side
    3,832.70x = 11,393,290.30
  5. Step 5: Solve for x
    x = 11,393,290.30/3,832.70
  6. Step 6: Final answer
    x = 2,972.65

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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.