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Finding the Fourth Proportional to 5,967.14, 8,950.70 and 2,071.58

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Solution

The fourth proportional to 5,967.14, 8,950.70 and 2,071.58 is: 3,107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.14 : 8,950.70 = 2,071.58 : x
  2. Step 2: Convert to fraction form
    5,967.14/8,950.70 = 2,071.58/x
  3. Step 3: Cross multiply
    5,967.14x = 8,950.70 × 2,071.58
  4. Step 4: Simplify right side
    5,967.14x = 18,542,035.99
  5. Step 5: Solve for x
    x = 18,542,035.99/5,967.14
  6. Step 6: Final answer
    x = 3,107.36

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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.