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Finding the Fourth Proportional to 3,832.16, 5,288.67 and 2,153.67

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Solution

The fourth proportional to 3,832.16, 5,288.67 and 2,153.67 is: 2,972.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.16 : 5,288.67 = 2,153.67 : x
  2. Step 2: Convert to fraction form
    3,832.16/5,288.67 = 2,153.67/x
  3. Step 3: Cross multiply
    3,832.16x = 5,288.67 × 2,153.67
  4. Step 4: Simplify right side
    3,832.16x = 11,390,049.92
  5. Step 5: Solve for x
    x = 11,390,049.92/3,832.16
  6. Step 6: Final answer
    x = 2,972.23

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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.