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Finding the Fourth Proportional to 4,233.54, 5,843.52 and 2,741.40

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Solution

The fourth proportional to 4,233.54, 5,843.52 and 2,741.40 is: 3,783.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233.54 : 5,843.52 = 2,741.40 : x
  2. Step 2: Convert to fraction form
    4,233.54/5,843.52 = 2,741.40/x
  3. Step 3: Cross multiply
    4,233.54x = 5,843.52 × 2,741.40
  4. Step 4: Simplify right side
    4,233.54x = 16,019,425.73
  5. Step 5: Solve for x
    x = 16,019,425.73/4,233.54
  6. Step 6: Final answer
    x = 3,783.93

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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.