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Finding the Fourth Proportional to 4,737.98, 6,524.07 and 3,740.06

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Solution

The fourth proportional to 4,737.98, 6,524.07 and 3,740.06 is: 5,149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.98 : 6,524.07 = 3,740.06 : x
  2. Step 2: Convert to fraction form
    4,737.98/6,524.07 = 3,740.06/x
  3. Step 3: Cross multiply
    4,737.98x = 6,524.07 × 3,740.06
  4. Step 4: Simplify right side
    4,737.98x = 24,400,413.24
  5. Step 5: Solve for x
    x = 24,400,413.24/4,737.98
  6. Step 6: Final answer
    x = 5,149.96

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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.