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Finding the Fourth Proportional to 3,071.52, 4,238.28 and 1,745.34

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Solution

The fourth proportional to 3,071.52, 4,238.28 and 1,745.34 is: 2,408.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.52 : 4,238.28 = 1,745.34 : x
  2. Step 2: Convert to fraction form
    3,071.52/4,238.28 = 1,745.34/x
  3. Step 3: Cross multiply
    3,071.52x = 4,238.28 × 1,745.34
  4. Step 4: Simplify right side
    3,071.52x = 7,397,239.62
  5. Step 5: Solve for x
    x = 7,397,239.62/3,071.52
  6. Step 6: Final answer
    x = 2,408.33

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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.