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Finding the Fourth Proportional to 3,538.94, 4,884.44 and 2,047.33

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Solution

The fourth proportional to 3,538.94, 4,884.44 and 2,047.33 is: 2,825.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.94 : 4,884.44 = 2,047.33 : x
  2. Step 2: Convert to fraction form
    3,538.94/4,884.44 = 2,047.33/x
  3. Step 3: Cross multiply
    3,538.94x = 4,884.44 × 2,047.33
  4. Step 4: Simplify right side
    3,538.94x = 10,000,060.55
  5. Step 5: Solve for x
    x = 10,000,060.55/3,538.94
  6. Step 6: Final answer
    x = 2,825.72

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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.