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Finding the Fourth Proportional to 5,338.84, 7,367.70 and 3,241.84

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Solution

The fourth proportional to 5,338.84, 7,367.70 and 3,241.84 is: 4,473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.84 : 7,367.70 = 3,241.84 : x
  2. Step 2: Convert to fraction form
    5,338.84/7,367.70 = 3,241.84/x
  3. Step 3: Cross multiply
    5,338.84x = 7,367.70 × 3,241.84
  4. Step 4: Simplify right side
    5,338.84x = 23,884,904.57
  5. Step 5: Solve for x
    x = 23,884,904.57/5,338.84
  6. Step 6: Final answer
    x = 4,473.80

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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.