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Finding the Fourth Proportional to 5,753.80, 8,630.70 and 5,413.60

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Solution

The fourth proportional to 5,753.80, 8,630.70 and 5,413.60 is: 8,120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.80 : 8,630.70 = 5,413.60 : x
  2. Step 2: Convert to fraction form
    5,753.80/8,630.70 = 5,413.60/x
  3. Step 3: Cross multiply
    5,753.80x = 8,630.70 × 5,413.60
  4. Step 4: Simplify right side
    5,753.80x = 46,723,157.52
  5. Step 5: Solve for x
    x = 46,723,157.52/5,753.80
  6. Step 6: Final answer
    x = 8,120.40

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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.