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Finding the Fourth Proportional to 3,633.84, 5,008.77 and 2,452.86

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Solution

The fourth proportional to 3,633.84, 5,008.77 and 2,452.86 is: 3,380.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.84 : 5,008.77 = 2,452.86 : x
  2. Step 2: Convert to fraction form
    3,633.84/5,008.77 = 2,452.86/x
  3. Step 3: Cross multiply
    3,633.84x = 5,008.77 × 2,452.86
  4. Step 4: Simplify right side
    3,633.84x = 12,285,811.58
  5. Step 5: Solve for x
    x = 12,285,811.58/3,633.84
  6. Step 6: Final answer
    x = 3,380.94

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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.