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Finding the Fourth Proportional to 3,671.38, 5,063.01 and 2,413.50

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Solution

The fourth proportional to 3,671.38, 5,063.01 and 2,413.50 is: 3,328.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.38 : 5,063.01 = 2,413.50 : x
  2. Step 2: Convert to fraction form
    3,671.38/5,063.01 = 2,413.50/x
  3. Step 3: Cross multiply
    3,671.38x = 5,063.01 × 2,413.50
  4. Step 4: Simplify right side
    3,671.38x = 12,219,546.60
  5. Step 5: Solve for x
    x = 12,219,546.60/3,671.38
  6. Step 6: Final answer
    x = 3,328.33

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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.