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Finding the Fourth Proportional to 3,738.56, 5,603.58 and 2,274.48

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Solution

The fourth proportional to 3,738.56, 5,603.58 and 2,274.48 is: 3,409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.56 : 5,603.58 = 2,274.48 : x
  2. Step 2: Convert to fraction form
    3,738.56/5,603.58 = 2,274.48/x
  3. Step 3: Cross multiply
    3,738.56x = 5,603.58 × 2,274.48
  4. Step 4: Simplify right side
    3,738.56x = 12,745,230.64
  5. Step 5: Solve for x
    x = 12,745,230.64/3,738.56
  6. Step 6: Final answer
    x = 3,409.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.