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Finding the Fourth Proportional to 3,836.64, 5,296.32 and 2,441.28

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Solution

The fourth proportional to 3,836.64, 5,296.32 and 2,441.28 is: 3,370.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.64 : 5,296.32 = 2,441.28 : x
  2. Step 2: Convert to fraction form
    3,836.64/5,296.32 = 2,441.28/x
  3. Step 3: Cross multiply
    3,836.64x = 5,296.32 × 2,441.28
  4. Step 4: Simplify right side
    3,836.64x = 12,929,800.09
  5. Step 5: Solve for x
    x = 12,929,800.09/3,836.64
  6. Step 6: Final answer
    x = 3,370.08

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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.