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Finding the Fourth Proportional to 3,781.34, 5,673.53 and 1,833.34

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Solution

The fourth proportional to 3,781.34, 5,673.53 and 1,833.34 is: 2,750.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.34 : 5,673.53 = 1,833.34 : x
  2. Step 2: Convert to fraction form
    3,781.34/5,673.53 = 1,833.34/x
  3. Step 3: Cross multiply
    3,781.34x = 5,673.53 × 1,833.34
  4. Step 4: Simplify right side
    3,781.34x = 10,401,509.49
  5. Step 5: Solve for x
    x = 10,401,509.49/3,781.34
  6. Step 6: Final answer
    x = 2,750.75

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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.