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Finding the Fourth Proportional to 3,591.52, 4,958 and 2,413.44

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Solution

The fourth proportional to 3,591.52, 4,958 and 2,413.44 is: 3,331.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.52 : 4,958 = 2,413.44 : x
  2. Step 2: Convert to fraction form
    3,591.52/4,958 = 2,413.44/x
  3. Step 3: Cross multiply
    3,591.52x = 4,958 × 2,413.44
  4. Step 4: Simplify right side
    3,591.52x = 11,965,835.52
  5. Step 5: Solve for x
    x = 11,965,835.52/3,591.52
  6. Step 6: Final answer
    x = 3,331.69

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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.