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Finding the Fourth Proportional to 4,257.99, 6,380.47 and 1,791.46

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Solution

The fourth proportional to 4,257.99, 6,380.47 and 1,791.46 is: 2,684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.99 : 6,380.47 = 1,791.46 : x
  2. Step 2: Convert to fraction form
    4,257.99/6,380.47 = 1,791.46/x
  3. Step 3: Cross multiply
    4,257.99x = 6,380.47 × 1,791.46
  4. Step 4: Simplify right side
    4,257.99x = 11,430,356.79
  5. Step 5: Solve for x
    x = 11,430,356.79/4,257.99
  6. Step 6: Final answer
    x = 2,684.45

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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.