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Finding the Fourth Proportional to 5,442.70, 8,162 and 2,156.26

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Solution

The fourth proportional to 5,442.70, 8,162 and 2,156.26 is: 3,233.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.70 : 8,162 = 2,156.26 : x
  2. Step 2: Convert to fraction form
    5,442.70/8,162 = 2,156.26/x
  3. Step 3: Cross multiply
    5,442.70x = 8,162 × 2,156.26
  4. Step 4: Simplify right side
    5,442.70x = 17,599,394.12
  5. Step 5: Solve for x
    x = 17,599,394.12/5,442.70
  6. Step 6: Final answer
    x = 3,233.58

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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.