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Finding the Fourth Proportional to 3,854.62, 5,319.38 and 2,086.23

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Solution

The fourth proportional to 3,854.62, 5,319.38 and 2,086.23 is: 2,878.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.62 : 5,319.38 = 2,086.23 : x
  2. Step 2: Convert to fraction form
    3,854.62/5,319.38 = 2,086.23/x
  3. Step 3: Cross multiply
    3,854.62x = 5,319.38 × 2,086.23
  4. Step 4: Simplify right side
    3,854.62x = 11,097,413.11
  5. Step 5: Solve for x
    x = 11,097,413.11/3,854.62
  6. Step 6: Final answer
    x = 2,878.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.