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Finding the Fourth Proportional to 5,367.46, 8,051.23 and 1,471.90

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Solution

The fourth proportional to 5,367.46, 8,051.23 and 1,471.90 is: 2,207.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.46 : 8,051.23 = 1,471.90 : x
  2. Step 2: Convert to fraction form
    5,367.46/8,051.23 = 1,471.90/x
  3. Step 3: Cross multiply
    5,367.46x = 8,051.23 × 1,471.90
  4. Step 4: Simplify right side
    5,367.46x = 11,850,587.15
  5. Step 5: Solve for x
    x = 11,850,587.15/5,367.46
  6. Step 6: Final answer
    x = 2,207.86

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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.