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Finding the Fourth Proportional to 5,342.85, 8,014.23 and 1,447.23

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Solution

The fourth proportional to 5,342.85, 8,014.23 and 1,447.23 is: 2,170.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.85 : 8,014.23 = 1,447.23 : x
  2. Step 2: Convert to fraction form
    5,342.85/8,014.23 = 1,447.23/x
  3. Step 3: Cross multiply
    5,342.85x = 8,014.23 × 1,447.23
  4. Step 4: Simplify right side
    5,342.85x = 11,598,434.08
  5. Step 5: Solve for x
    x = 11,598,434.08/5,342.85
  6. Step 6: Final answer
    x = 2,170.83

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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.