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Finding the Fourth Proportional to 3,776.90, 5,213.23 and 2,205.36

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Solution

The fourth proportional to 3,776.90, 5,213.23 and 2,205.36 is: 3,044.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.90 : 5,213.23 = 2,205.36 : x
  2. Step 2: Convert to fraction form
    3,776.90/5,213.23 = 2,205.36/x
  3. Step 3: Cross multiply
    3,776.90x = 5,213.23 × 2,205.36
  4. Step 4: Simplify right side
    3,776.90x = 11,497,043.40
  5. Step 5: Solve for x
    x = 11,497,043.40/3,776.90
  6. Step 6: Final answer
    x = 3,044.05

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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.