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Finding the Fourth Proportional to 3,782.17, 5,673.07 and 1,149.56

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Solution

The fourth proportional to 3,782.17, 5,673.07 and 1,149.56 is: 1,724.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.17 : 5,673.07 = 1,149.56 : x
  2. Step 2: Convert to fraction form
    3,782.17/5,673.07 = 1,149.56/x
  3. Step 3: Cross multiply
    3,782.17x = 5,673.07 × 1,149.56
  4. Step 4: Simplify right side
    3,782.17x = 6,521,534.35
  5. Step 5: Solve for x
    x = 6,521,534.35/3,782.17
  6. Step 6: Final answer
    x = 1,724.28

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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.