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Finding the Fourth Proportional to 4,267.70, 5,885.94 and 3,583.70

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Solution

The fourth proportional to 4,267.70, 5,885.94 and 3,583.70 is: 4,942.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,267.70 : 5,885.94 = 3,583.70 : x
  2. Step 2: Convert to fraction form
    4,267.70/5,885.94 = 3,583.70/x
  3. Step 3: Cross multiply
    4,267.70x = 5,885.94 × 3,583.70
  4. Step 4: Simplify right side
    4,267.70x = 21,093,413.75
  5. Step 5: Solve for x
    x = 21,093,413.75/4,267.70
  6. Step 6: Final answer
    x = 4,942.58

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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.