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Finding the Fourth Proportional to 4,096.47, 5,651.78 and 3,203.43

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Solution

The fourth proportional to 4,096.47, 5,651.78 and 3,203.43 is: 4,419.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.47 : 5,651.78 = 3,203.43 : x
  2. Step 2: Convert to fraction form
    4,096.47/5,651.78 = 3,203.43/x
  3. Step 3: Cross multiply
    4,096.47x = 5,651.78 × 3,203.43
  4. Step 4: Simplify right side
    4,096.47x = 18,105,065.59
  5. Step 5: Solve for x
    x = 18,105,065.59/4,096.47
  6. Step 6: Final answer
    x = 4,419.67

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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.