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Finding the Fourth Proportional to 4,096.24, 6,144.40 and 1,018.24

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Solution

The fourth proportional to 4,096.24, 6,144.40 and 1,018.24 is: 1,527.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.24 : 6,144.40 = 1,018.24 : x
  2. Step 2: Convert to fraction form
    4,096.24/6,144.40 = 1,018.24/x
  3. Step 3: Cross multiply
    4,096.24x = 6,144.40 × 1,018.24
  4. Step 4: Simplify right side
    4,096.24x = 6,256,473.86
  5. Step 5: Solve for x
    x = 6,256,473.86/4,096.24
  6. Step 6: Final answer
    x = 1,527.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.