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Finding the Fourth Proportional to 3,775.29, 5,660.20 and 1,902.33

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Solution

The fourth proportional to 3,775.29, 5,660.20 and 1,902.33 is: 2,852.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.29 : 5,660.20 = 1,902.33 : x
  2. Step 2: Convert to fraction form
    3,775.29/5,660.20 = 1,902.33/x
  3. Step 3: Cross multiply
    3,775.29x = 5,660.20 × 1,902.33
  4. Step 4: Simplify right side
    3,775.29x = 10,767,558.75
  5. Step 5: Solve for x
    x = 10,767,558.75/3,775.29
  6. Step 6: Final answer
    x = 2,852.11

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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.