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Finding the Fourth Proportional to 5,085.32, 7,014.11 and 3,096

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Solution

The fourth proportional to 5,085.32, 7,014.11 and 3,096 is: 4,270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,085.32 : 7,014.11 = 3,096 : x
  2. Step 2: Convert to fraction form
    5,085.32/7,014.11 = 3,096/x
  3. Step 3: Cross multiply
    5,085.32x = 7,014.11 × 3,096
  4. Step 4: Simplify right side
    5,085.32x = 21,715,684.56
  5. Step 5: Solve for x
    x = 21,715,684.56/5,085.32
  6. Step 6: Final answer
    x = 4,270.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.