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Finding the Fourth Proportional to 4,245.96, 6,357.14 and 2,161.48

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Solution

The fourth proportional to 4,245.96, 6,357.14 and 2,161.48 is: 3,236.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,245.96 : 6,357.14 = 2,161.48 : x
  2. Step 2: Convert to fraction form
    4,245.96/6,357.14 = 2,161.48/x
  3. Step 3: Cross multiply
    4,245.96x = 6,357.14 × 2,161.48
  4. Step 4: Simplify right side
    4,245.96x = 13,740,836.21
  5. Step 5: Solve for x
    x = 13,740,836.21/4,245.96
  6. Step 6: Final answer
    x = 3,236.21

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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.