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Finding the Fourth Proportional to 5,413.90, 8,114.85 and 2,125.90

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Solution

The fourth proportional to 5,413.90, 8,114.85 and 2,125.90 is: 3,186.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.90 : 8,114.85 = 2,125.90 : x
  2. Step 2: Convert to fraction form
    5,413.90/8,114.85 = 2,125.90/x
  3. Step 3: Cross multiply
    5,413.90x = 8,114.85 × 2,125.90
  4. Step 4: Simplify right side
    5,413.90x = 17,251,359.62
  5. Step 5: Solve for x
    x = 17,251,359.62/5,413.90
  6. Step 6: Final answer
    x = 3,186.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.