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Finding the Fourth Proportional to 3,745.14, 5,630.02 and 3,474.50

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Solution

The fourth proportional to 3,745.14, 5,630.02 and 3,474.50 is: 5,223.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.14 : 5,630.02 = 3,474.50 : x
  2. Step 2: Convert to fraction form
    3,745.14/5,630.02 = 3,474.50/x
  3. Step 3: Cross multiply
    3,745.14x = 5,630.02 × 3,474.50
  4. Step 4: Simplify right side
    3,745.14x = 19,561,504.49
  5. Step 5: Solve for x
    x = 19,561,504.49/3,745.14
  6. Step 6: Final answer
    x = 5,223.17

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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.