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Finding the Fourth Proportional to 3,677.85, 5,509.59 and 3,286.23

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Solution

The fourth proportional to 3,677.85, 5,509.59 and 3,286.23 is: 4,922.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.85 : 5,509.59 = 3,286.23 : x
  2. Step 2: Convert to fraction form
    3,677.85/5,509.59 = 3,286.23/x
  3. Step 3: Cross multiply
    3,677.85x = 5,509.59 × 3,286.23
  4. Step 4: Simplify right side
    3,677.85x = 18,105,779.95
  5. Step 5: Solve for x
    x = 18,105,779.95/3,677.85
  6. Step 6: Final answer
    x = 4,922.93

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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.