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Finding the Fourth Proportional to 3,364.11, 5,046.18 and 1,608.71

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Solution

The fourth proportional to 3,364.11, 5,046.18 and 1,608.71 is: 2,413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.11 : 5,046.18 = 1,608.71 : x
  2. Step 2: Convert to fraction form
    3,364.11/5,046.18 = 1,608.71/x
  3. Step 3: Cross multiply
    3,364.11x = 5,046.18 × 1,608.71
  4. Step 4: Simplify right side
    3,364.11x = 8,117,808.96
  5. Step 5: Solve for x
    x = 8,117,808.96/3,364.11
  6. Step 6: Final answer
    x = 2,413.06

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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.