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Finding the Fourth Proportional to 5,242.59, 7,234.83 and 2,884.79

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Solution

The fourth proportional to 5,242.59, 7,234.83 and 2,884.79 is: 3,981.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.59 : 7,234.83 = 2,884.79 : x
  2. Step 2: Convert to fraction form
    5,242.59/7,234.83 = 2,884.79/x
  3. Step 3: Cross multiply
    5,242.59x = 7,234.83 × 2,884.79
  4. Step 4: Simplify right side
    5,242.59x = 20,870,929.06
  5. Step 5: Solve for x
    x = 20,870,929.06/5,242.59
  6. Step 6: Final answer
    x = 3,981.03

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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.