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Finding the Fourth Proportional to 5,745.92, 7,930.04 and 3,388

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Solution

The fourth proportional to 5,745.92, 7,930.04 and 3,388 is: 4,675.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.92 : 7,930.04 = 3,388 : x
  2. Step 2: Convert to fraction form
    5,745.92/7,930.04 = 3,388/x
  3. Step 3: Cross multiply
    5,745.92x = 7,930.04 × 3,388
  4. Step 4: Simplify right side
    5,745.92x = 26,866,975.52
  5. Step 5: Solve for x
    x = 26,866,975.52/5,745.92
  6. Step 6: Final answer
    x = 4,675.84

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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.