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Finding the Fourth Proportional to 3,838.28, 5,296.82 and 2,159.64

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Solution

The fourth proportional to 3,838.28, 5,296.82 and 2,159.64 is: 2,980.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.28 : 5,296.82 = 2,159.64 : x
  2. Step 2: Convert to fraction form
    3,838.28/5,296.82 = 2,159.64/x
  3. Step 3: Cross multiply
    3,838.28x = 5,296.82 × 2,159.64
  4. Step 4: Simplify right side
    3,838.28x = 11,439,213.55
  5. Step 5: Solve for x
    x = 11,439,213.55/3,838.28
  6. Step 6: Final answer
    x = 2,980.30

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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.