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Finding the Fourth Proportional to 3,496.40, 4,826.40 and 2,170.64

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Solution

The fourth proportional to 3,496.40, 4,826.40 and 2,170.64 is: 2,996.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.40 : 4,826.40 = 2,170.64 : x
  2. Step 2: Convert to fraction form
    3,496.40/4,826.40 = 2,170.64/x
  3. Step 3: Cross multiply
    3,496.40x = 4,826.40 × 2,170.64
  4. Step 4: Simplify right side
    3,496.40x = 10,476,376.90
  5. Step 5: Solve for x
    x = 10,476,376.90/3,496.40
  6. Step 6: Final answer
    x = 2,996.33

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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.