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Finding the Fourth Proportional to 3,832.17, 5,288.18 and 2,153.64

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Solution

The fourth proportional to 3,832.17, 5,288.18 and 2,153.64 is: 2,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.17 : 5,288.18 = 2,153.64 : x
  2. Step 2: Convert to fraction form
    3,832.17/5,288.18 = 2,153.64/x
  3. Step 3: Cross multiply
    3,832.17x = 5,288.18 × 2,153.64
  4. Step 4: Simplify right side
    3,832.17x = 11,388,825.21
  5. Step 5: Solve for x
    x = 11,388,825.21/3,832.17
  6. Step 6: Final answer
    x = 2,971.90

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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.