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Finding the Fourth Proportional to 5,822.75, 8,035.41 and 3,170.18

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Solution

The fourth proportional to 5,822.75, 8,035.41 and 3,170.18 is: 4,374.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.75 : 8,035.41 = 3,170.18 : x
  2. Step 2: Convert to fraction form
    5,822.75/8,035.41 = 3,170.18/x
  3. Step 3: Cross multiply
    5,822.75x = 8,035.41 × 3,170.18
  4. Step 4: Simplify right side
    5,822.75x = 25,473,696.07
  5. Step 5: Solve for x
    x = 25,473,696.07/5,822.75
  6. Step 6: Final answer
    x = 4,374.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.