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Finding the Fourth Proportional to 3,738.92, 5,609 and 1,141.25

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Solution

The fourth proportional to 3,738.92, 5,609 and 1,141.25 is: 1,712.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.92 : 5,609 = 1,141.25 : x
  2. Step 2: Convert to fraction form
    3,738.92/5,609 = 1,141.25/x
  3. Step 3: Cross multiply
    3,738.92x = 5,609 × 1,141.25
  4. Step 4: Simplify right side
    3,738.92x = 6,401,271.25
  5. Step 5: Solve for x
    x = 6,401,271.25/3,738.92
  6. Step 6: Final answer
    x = 1,712.06

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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.