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Finding the Fourth Proportional to 3,633.99, 5,015.46 and 2,638.89

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Solution

The fourth proportional to 3,633.99, 5,015.46 and 2,638.89 is: 3,642.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.99 : 5,015.46 = 2,638.89 : x
  2. Step 2: Convert to fraction form
    3,633.99/5,015.46 = 2,638.89/x
  3. Step 3: Cross multiply
    3,633.99x = 5,015.46 × 2,638.89
  4. Step 4: Simplify right side
    3,633.99x = 13,235,247.24
  5. Step 5: Solve for x
    x = 13,235,247.24/3,633.99
  6. Step 6: Final answer
    x = 3,642.07

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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.