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Finding the Fourth Proportional to 3,771.90, 5,205.69 and 2,199.99

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Solution

The fourth proportional to 3,771.90, 5,205.69 and 2,199.99 is: 3,036.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.90 : 5,205.69 = 2,199.99 : x
  2. Step 2: Convert to fraction form
    3,771.90/5,205.69 = 2,199.99/x
  3. Step 3: Cross multiply
    3,771.90x = 5,205.69 × 2,199.99
  4. Step 4: Simplify right side
    3,771.90x = 11,452,465.94
  5. Step 5: Solve for x
    x = 11,452,465.94/3,771.90
  6. Step 6: Final answer
    x = 3,036.26

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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.