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Finding the Fourth Proportional to 5,603.44, 7,734.36 and 3,745.84

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Solution

The fourth proportional to 5,603.44, 7,734.36 and 3,745.84 is: 5,170.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.44 : 7,734.36 = 3,745.84 : x
  2. Step 2: Convert to fraction form
    5,603.44/7,734.36 = 3,745.84/x
  3. Step 3: Cross multiply
    5,603.44x = 7,734.36 × 3,745.84
  4. Step 4: Simplify right side
    5,603.44x = 28,971,675.06
  5. Step 5: Solve for x
    x = 28,971,675.06/5,603.44
  6. Step 6: Final answer
    x = 5,170.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.