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Finding the Fourth Proportional to 5,242.09, 7,234.15 and 2,884.25

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Solution

The fourth proportional to 5,242.09, 7,234.15 and 2,884.25 is: 3,980.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.09 : 7,234.15 = 2,884.25 : x
  2. Step 2: Convert to fraction form
    5,242.09/7,234.15 = 2,884.25/x
  3. Step 3: Cross multiply
    5,242.09x = 7,234.15 × 2,884.25
  4. Step 4: Simplify right side
    5,242.09x = 20,865,097.14
  5. Step 5: Solve for x
    x = 20,865,097.14/5,242.09
  6. Step 6: Final answer
    x = 3,980.30

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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.