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Finding the Fourth Proportional to 3,413.88, 5,114.88 and 3,048.84

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Solution

The fourth proportional to 3,413.88, 5,114.88 and 3,048.84 is: 4,567.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.88 : 5,114.88 = 3,048.84 : x
  2. Step 2: Convert to fraction form
    3,413.88/5,114.88 = 3,048.84/x
  3. Step 3: Cross multiply
    3,413.88x = 5,114.88 × 3,048.84
  4. Step 4: Simplify right side
    3,413.88x = 15,594,450.74
  5. Step 5: Solve for x
    x = 15,594,450.74/3,413.88
  6. Step 6: Final answer
    x = 4,567.96

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1.5x scale

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.