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Finding the Fourth Proportional to 5,174.22, 7,759.44 and 1,886.34

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Solution

The fourth proportional to 5,174.22, 7,759.44 and 1,886.34 is: 2,828.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.22 : 7,759.44 = 1,886.34 : x
  2. Step 2: Convert to fraction form
    5,174.22/7,759.44 = 1,886.34/x
  3. Step 3: Cross multiply
    5,174.22x = 7,759.44 × 1,886.34
  4. Step 4: Simplify right side
    5,174.22x = 14,636,942.05
  5. Step 5: Solve for x
    x = 14,636,942.05/5,174.22
  6. Step 6: Final answer
    x = 2,828.82

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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.