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Finding the Fourth Proportional to 3,538.70, 4,883.45 and 2,046.68

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Solution

The fourth proportional to 3,538.70, 4,883.45 and 2,046.68 is: 2,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.70 : 4,883.45 = 2,046.68 : x
  2. Step 2: Convert to fraction form
    3,538.70/4,883.45 = 2,046.68/x
  3. Step 3: Cross multiply
    3,538.70x = 4,883.45 × 2,046.68
  4. Step 4: Simplify right side
    3,538.70x = 9,994,824.80
  5. Step 5: Solve for x
    x = 9,994,824.80/3,538.70
  6. Step 6: Final answer
    x = 2,824.44

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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.