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Finding the Fourth Proportional to 3,775.33, 5,209.41 and 2,203.12

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Solution

The fourth proportional to 3,775.33, 5,209.41 and 2,203.12 is: 3,039.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.33 : 5,209.41 = 2,203.12 : x
  2. Step 2: Convert to fraction form
    3,775.33/5,209.41 = 2,203.12/x
  3. Step 3: Cross multiply
    3,775.33x = 5,209.41 × 2,203.12
  4. Step 4: Simplify right side
    3,775.33x = 11,476,955.36
  5. Step 5: Solve for x
    x = 11,476,955.36/3,775.33
  6. Step 6: Final answer
    x = 3,039.99

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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.