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Finding the Fourth Proportional to 5,822.17, 8,034.18 and 3,169.54

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Solution

The fourth proportional to 5,822.17, 8,034.18 and 3,169.54 is: 4,373.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.17 : 8,034.18 = 3,169.54 : x
  2. Step 2: Convert to fraction form
    5,822.17/8,034.18 = 3,169.54/x
  3. Step 3: Cross multiply
    5,822.17x = 8,034.18 × 3,169.54
  4. Step 4: Simplify right side
    5,822.17x = 25,464,654.88
  5. Step 5: Solve for x
    x = 25,464,654.88/5,822.17
  6. Step 6: Final answer
    x = 4,373.74

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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.