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Finding the Fourth Proportional to 3,832.68, 5,288.81 and 2,153.76

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Solution

The fourth proportional to 3,832.68, 5,288.81 and 2,153.76 is: 2,972.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.68 : 5,288.81 = 2,153.76 : x
  2. Step 2: Convert to fraction form
    3,832.68/5,288.81 = 2,153.76/x
  3. Step 3: Cross multiply
    3,832.68x = 5,288.81 × 2,153.76
  4. Step 4: Simplify right side
    3,832.68x = 11,390,817.82
  5. Step 5: Solve for x
    x = 11,390,817.82/3,832.68
  6. Step 6: Final answer
    x = 2,972.02

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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.