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Finding the Fourth Proportional to 5,072.25, 6,999.71 and 2,864.25

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Solution

The fourth proportional to 5,072.25, 6,999.71 and 2,864.25 is: 3,952.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.25 : 6,999.71 = 2,864.25 : x
  2. Step 2: Convert to fraction form
    5,072.25/6,999.71 = 2,864.25/x
  3. Step 3: Cross multiply
    5,072.25x = 6,999.71 × 2,864.25
  4. Step 4: Simplify right side
    5,072.25x = 20,048,905.05
  5. Step 5: Solve for x
    x = 20,048,905.05/5,072.25
  6. Step 6: Final answer
    x = 3,952.67

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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.