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Finding the Fourth Proportional to 3,753.94, 5,631.06 and 1,413.70

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Solution

The fourth proportional to 3,753.94, 5,631.06 and 1,413.70 is: 2,120.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.94 : 5,631.06 = 1,413.70 : x
  2. Step 2: Convert to fraction form
    3,753.94/5,631.06 = 1,413.70/x
  3. Step 3: Cross multiply
    3,753.94x = 5,631.06 × 1,413.70
  4. Step 4: Simplify right side
    3,753.94x = 7,960,629.52
  5. Step 5: Solve for x
    x = 7,960,629.52/3,753.94
  6. Step 6: Final answer
    x = 2,120.61

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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.