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Finding the Fourth Proportional to 5,242.57, 7,234.89 and 2,884.86

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Solution

The fourth proportional to 5,242.57, 7,234.89 and 2,884.86 is: 3,981.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.57 : 7,234.89 = 2,884.86 : x
  2. Step 2: Convert to fraction form
    5,242.57/7,234.89 = 2,884.86/x
  3. Step 3: Cross multiply
    5,242.57x = 7,234.89 × 2,884.86
  4. Step 4: Simplify right side
    5,242.57x = 20,871,644.77
  5. Step 5: Solve for x
    x = 20,871,644.77/5,242.57
  6. Step 6: Final answer
    x = 3,981.19

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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.