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Finding the Fourth Proportional to 2,964.98, 4,434.37 and 2,638.22

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Solution

The fourth proportional to 2,964.98, 4,434.37 and 2,638.22 is: 3,945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.98 : 4,434.37 = 2,638.22 : x
  2. Step 2: Convert to fraction form
    2,964.98/4,434.37 = 2,638.22/x
  3. Step 3: Cross multiply
    2,964.98x = 4,434.37 × 2,638.22
  4. Step 4: Simplify right side
    2,964.98x = 11,698,814.85
  5. Step 5: Solve for x
    x = 11,698,814.85/2,964.98
  6. Step 6: Final answer
    x = 3,945.66

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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.