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Finding the Fourth Proportional to 3,715.86, 5,573.76 and 942.53

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Solution

The fourth proportional to 3,715.86, 5,573.76 and 942.53 is: 1,413.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.86 : 5,573.76 = 942.53 : x
  2. Step 2: Convert to fraction form
    3,715.86/5,573.76 = 942.53/x
  3. Step 3: Cross multiply
    3,715.86x = 5,573.76 × 942.53
  4. Step 4: Simplify right side
    3,715.86x = 5,253,408.14
  5. Step 5: Solve for x
    x = 5,253,408.14/3,715.86
  6. Step 6: Final answer
    x = 1,413.78

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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.