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Finding the Fourth Proportional to 4,257.68, 6,396.89 and 4,021.63

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Solution

The fourth proportional to 4,257.68, 6,396.89 and 4,021.63 is: 6,042.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.68 : 6,396.89 = 4,021.63 : x
  2. Step 2: Convert to fraction form
    4,257.68/6,396.89 = 4,021.63/x
  3. Step 3: Cross multiply
    4,257.68x = 6,396.89 × 4,021.63
  4. Step 4: Simplify right side
    4,257.68x = 25,725,888.63
  5. Step 5: Solve for x
    x = 25,725,888.63/4,257.68
  6. Step 6: Final answer
    x = 6,042.24

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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.