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Finding the Fourth Proportional to 3,538.74, 4,884.18 and 2,046.54

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Solution

The fourth proportional to 3,538.74, 4,884.18 and 2,046.54 is: 2,824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.74 : 4,884.18 = 2,046.54 : x
  2. Step 2: Convert to fraction form
    3,538.74/4,884.18 = 2,046.54/x
  3. Step 3: Cross multiply
    3,538.74x = 4,884.18 × 2,046.54
  4. Step 4: Simplify right side
    3,538.74x = 9,995,669.74
  5. Step 5: Solve for x
    x = 9,995,669.74/3,538.74
  6. Step 6: Final answer
    x = 2,824.64

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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.