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Finding the Fourth Proportional to 4,205.54, 5,761.62 and 4,047.89

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Solution

The fourth proportional to 4,205.54, 5,761.62 and 4,047.89 is: 5,545.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.54 : 5,761.62 = 4,047.89 : x
  2. Step 2: Convert to fraction form
    4,205.54/5,761.62 = 4,047.89/x
  3. Step 3: Cross multiply
    4,205.54x = 5,761.62 × 4,047.89
  4. Step 4: Simplify right side
    4,205.54x = 23,322,418.39
  5. Step 5: Solve for x
    x = 23,322,418.39/4,205.54
  6. Step 6: Final answer
    x = 5,545.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.