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Finding the Fourth Proportional to 4,126.34, 5,694.50 and 2,950.22

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Solution

The fourth proportional to 4,126.34, 5,694.50 and 2,950.22 is: 4,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,126.34 : 5,694.50 = 2,950.22 : x
  2. Step 2: Convert to fraction form
    4,126.34/5,694.50 = 2,950.22/x
  3. Step 3: Cross multiply
    4,126.34x = 5,694.50 × 2,950.22
  4. Step 4: Simplify right side
    4,126.34x = 16,800,013.04
  5. Step 5: Solve for x
    x = 16,800,013.04/4,126.34
  6. Step 6: Final answer
    x = 4,071.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.