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Finding the Fourth Proportional to 4,942.35, 7,413.53 and 4,729.05

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Solution

The fourth proportional to 4,942.35, 7,413.53 and 4,729.05 is: 7,093.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.35 : 7,413.53 = 4,729.05 : x
  2. Step 2: Convert to fraction form
    4,942.35/7,413.53 = 4,729.05/x
  3. Step 3: Cross multiply
    4,942.35x = 7,413.53 × 4,729.05
  4. Step 4: Simplify right side
    4,942.35x = 35,058,930.40
  5. Step 5: Solve for x
    x = 35,058,930.40/4,942.35
  6. Step 6: Final answer
    x = 7,093.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.