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Finding the Fourth Proportional to 3,496.29, 4,825.57 and 2,005.22

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Solution

The fourth proportional to 3,496.29, 4,825.57 and 2,005.22 is: 2,767.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.29 : 4,825.57 = 2,005.22 : x
  2. Step 2: Convert to fraction form
    3,496.29/4,825.57 = 2,005.22/x
  3. Step 3: Cross multiply
    3,496.29x = 4,825.57 × 2,005.22
  4. Step 4: Simplify right side
    3,496.29x = 9,676,305.35
  5. Step 5: Solve for x
    x = 9,676,305.35/3,496.29
  6. Step 6: Final answer
    x = 2,767.59

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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.