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Finding the Fourth Proportional to 5,242.60, 7,234.86 and 2,884.84

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Solution

The fourth proportional to 5,242.60, 7,234.86 and 2,884.84 is: 3,981.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.60 : 7,234.86 = 2,884.84 : x
  2. Step 2: Convert to fraction form
    5,242.60/7,234.86 = 2,884.84/x
  3. Step 3: Cross multiply
    5,242.60x = 7,234.86 × 2,884.84
  4. Step 4: Simplify right side
    5,242.60x = 20,871,413.52
  5. Step 5: Solve for x
    x = 20,871,413.52/5,242.60
  6. Step 6: Final answer
    x = 3,981.12

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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.