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Finding the Fourth Proportional to 3,633.26, 4,978.97 and 3,283.34

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Solution

The fourth proportional to 3,633.26, 4,978.97 and 3,283.34 is: 4,499.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.26 : 4,978.97 = 3,283.34 : x
  2. Step 2: Convert to fraction form
    3,633.26/4,978.97 = 3,283.34/x
  3. Step 3: Cross multiply
    3,633.26x = 4,978.97 × 3,283.34
  4. Step 4: Simplify right side
    3,633.26x = 16,347,634.67
  5. Step 5: Solve for x
    x = 16,347,634.67/3,633.26
  6. Step 6: Final answer
    x = 4,499.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.