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Finding the Fourth Proportional to 3,753.91, 5,626.98 and 1,413.46

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Solution

The fourth proportional to 3,753.91, 5,626.98 and 1,413.46 is: 2,118.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.91 : 5,626.98 = 1,413.46 : x
  2. Step 2: Convert to fraction form
    3,753.91/5,626.98 = 1,413.46/x
  3. Step 3: Cross multiply
    3,753.91x = 5,626.98 × 1,413.46
  4. Step 4: Simplify right side
    3,753.91x = 7,953,511.15
  5. Step 5: Solve for x
    x = 7,953,511.15/3,753.91
  6. Step 6: Final answer
    x = 2,118.73

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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.