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Finding the Fourth Proportional to 5,311.06, 7,328.46 and 3,072.49

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Solution

The fourth proportional to 5,311.06, 7,328.46 and 3,072.49 is: 4,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.06 : 7,328.46 = 3,072.49 : x
  2. Step 2: Convert to fraction form
    5,311.06/7,328.46 = 3,072.49/x
  3. Step 3: Cross multiply
    5,311.06x = 7,328.46 × 3,072.49
  4. Step 4: Simplify right side
    5,311.06x = 22,516,620.07
  5. Step 5: Solve for x
    x = 22,516,620.07/5,311.06
  6. Step 6: Final answer
    x = 4,239.57

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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.