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Finding the Fourth Proportional to 5,224.07, 7,836.38 and 1,714.41

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Solution

The fourth proportional to 5,224.07, 7,836.38 and 1,714.41 is: 2,571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.07 : 7,836.38 = 1,714.41 : x
  2. Step 2: Convert to fraction form
    5,224.07/7,836.38 = 1,714.41/x
  3. Step 3: Cross multiply
    5,224.07x = 7,836.38 × 1,714.41
  4. Step 4: Simplify right side
    5,224.07x = 13,434,766.09
  5. Step 5: Solve for x
    x = 13,434,766.09/5,224.07
  6. Step 6: Final answer
    x = 2,571.70

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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.