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Finding the Fourth Proportional to 3,832.50, 5,288.47 and 2,153.62

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Solution

The fourth proportional to 3,832.50, 5,288.47 and 2,153.62 is: 2,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.50 : 5,288.47 = 2,153.62 : x
  2. Step 2: Convert to fraction form
    3,832.50/5,288.47 = 2,153.62/x
  3. Step 3: Cross multiply
    3,832.50x = 5,288.47 × 2,153.62
  4. Step 4: Simplify right side
    3,832.50x = 11,389,354.76
  5. Step 5: Solve for x
    x = 11,389,354.76/3,832.50
  6. Step 6: Final answer
    x = 2,971.78

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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.