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Finding the Fourth Proportional to 3,878.66, 5,812.32 and 2,413.36

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Solution

The fourth proportional to 3,878.66, 5,812.32 and 2,413.36 is: 3,616.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.66 : 5,812.32 = 2,413.36 : x
  2. Step 2: Convert to fraction form
    3,878.66/5,812.32 = 2,413.36/x
  3. Step 3: Cross multiply
    3,878.66x = 5,812.32 × 2,413.36
  4. Step 4: Simplify right side
    3,878.66x = 14,027,220.60
  5. Step 5: Solve for x
    x = 14,027,220.60/3,878.66
  6. Step 6: Final answer
    x = 3,616.51

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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.