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Finding the Fourth Proportional to 3,635.88, 5,446.61 and 2,852.21

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Solution

The fourth proportional to 3,635.88, 5,446.61 and 2,852.21 is: 4,272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.88 : 5,446.61 = 2,852.21 : x
  2. Step 2: Convert to fraction form
    3,635.88/5,446.61 = 2,852.21/x
  3. Step 3: Cross multiply
    3,635.88x = 5,446.61 × 2,852.21
  4. Step 4: Simplify right side
    3,635.88x = 15,534,834.01
  5. Step 5: Solve for x
    x = 15,534,834.01/3,635.88
  6. Step 6: Final answer
    x = 4,272.65

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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.