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Finding the Fourth Proportional to 5,342.12, 8,014.25 and 1,644.22

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Solution

The fourth proportional to 5,342.12, 8,014.25 and 1,644.22 is: 2,466.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.12 : 8,014.25 = 1,644.22 : x
  2. Step 2: Convert to fraction form
    5,342.12/8,014.25 = 1,644.22/x
  3. Step 3: Cross multiply
    5,342.12x = 8,014.25 × 1,644.22
  4. Step 4: Simplify right side
    5,342.12x = 13,177,159.18
  5. Step 5: Solve for x
    x = 13,177,159.18/5,342.12
  6. Step 6: Final answer
    x = 2,466.65

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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.