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Finding the Fourth Proportional to 4,096.56, 6,143.28 and 1,463.58

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Solution

The fourth proportional to 4,096.56, 6,143.28 and 1,463.58 is: 2,194.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.56 : 6,143.28 = 1,463.58 : x
  2. Step 2: Convert to fraction form
    4,096.56/6,143.28 = 1,463.58/x
  3. Step 3: Cross multiply
    4,096.56x = 6,143.28 × 1,463.58
  4. Step 4: Simplify right side
    4,096.56x = 8,991,181.74
  5. Step 5: Solve for x
    x = 8,991,181.74/4,096.56
  6. Step 6: Final answer
    x = 2,194.81

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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.