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Finding the Fourth Proportional to 3,906.68, 5,858.94 and 1,714.86

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Solution

The fourth proportional to 3,906.68, 5,858.94 and 1,714.86 is: 2,571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.68 : 5,858.94 = 1,714.86 : x
  2. Step 2: Convert to fraction form
    3,906.68/5,858.94 = 1,714.86/x
  3. Step 3: Cross multiply
    3,906.68x = 5,858.94 × 1,714.86
  4. Step 4: Simplify right side
    3,906.68x = 10,047,261.85
  5. Step 5: Solve for x
    x = 10,047,261.85/3,906.68
  6. Step 6: Final answer
    x = 2,571.82

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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.