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Finding the Fourth Proportional to 5,364.68, 8,046.03 and 2,243.84

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Solution

The fourth proportional to 5,364.68, 8,046.03 and 2,243.84 is: 3,365.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.68 : 8,046.03 = 2,243.84 : x
  2. Step 2: Convert to fraction form
    5,364.68/8,046.03 = 2,243.84/x
  3. Step 3: Cross multiply
    5,364.68x = 8,046.03 × 2,243.84
  4. Step 4: Simplify right side
    5,364.68x = 18,054,003.96
  5. Step 5: Solve for x
    x = 18,054,003.96/5,364.68
  6. Step 6: Final answer
    x = 3,365.35

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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.