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Finding the Fourth Proportional to 3,873.80, 5,814.80 and 2,413.98

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Solution

The fourth proportional to 3,873.80, 5,814.80 and 2,413.98 is: 3,623.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.80 : 5,814.80 = 2,413.98 : x
  2. Step 2: Convert to fraction form
    3,873.80/5,814.80 = 2,413.98/x
  3. Step 3: Cross multiply
    3,873.80x = 5,814.80 × 2,413.98
  4. Step 4: Simplify right side
    3,873.80x = 14,036,807.89
  5. Step 5: Solve for x
    x = 14,036,807.89/3,873.80
  6. Step 6: Final answer
    x = 3,623.52

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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.