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Finding the Fourth Proportional to 3,496.97, 4,825.68 and 2,003.81

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Solution

The fourth proportional to 3,496.97, 4,825.68 and 2,003.81 is: 2,765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.97 : 4,825.68 = 2,003.81 : x
  2. Step 2: Convert to fraction form
    3,496.97/4,825.68 = 2,003.81/x
  3. Step 3: Cross multiply
    3,496.97x = 4,825.68 × 2,003.81
  4. Step 4: Simplify right side
    3,496.97x = 9,669,714.20
  5. Step 5: Solve for x
    x = 9,669,714.20/3,496.97
  6. Step 6: Final answer
    x = 2,765.17

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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.