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Finding the Fourth Proportional to 3,878.81, 5,815.69 and 1,413.17

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Solution

The fourth proportional to 3,878.81, 5,815.69 and 1,413.17 is: 2,118.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.81 : 5,815.69 = 1,413.17 : x
  2. Step 2: Convert to fraction form
    3,878.81/5,815.69 = 1,413.17/x
  3. Step 3: Cross multiply
    3,878.81x = 5,815.69 × 1,413.17
  4. Step 4: Simplify right side
    3,878.81x = 8,218,558.64
  5. Step 5: Solve for x
    x = 8,218,558.64/3,878.81
  6. Step 6: Final answer
    x = 2,118.84

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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.