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Finding the Fourth Proportional to 3,832.84, 5,289.19 and 2,154.32

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Solution

The fourth proportional to 3,832.84, 5,289.19 and 2,154.32 is: 2,972.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.84 : 5,289.19 = 2,154.32 : x
  2. Step 2: Convert to fraction form
    3,832.84/5,289.19 = 2,154.32/x
  3. Step 3: Cross multiply
    3,832.84x = 5,289.19 × 2,154.32
  4. Step 4: Simplify right side
    3,832.84x = 11,394,607.80
  5. Step 5: Solve for x
    x = 11,394,607.80/3,832.84
  6. Step 6: Final answer
    x = 2,972.89

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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.