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Finding the Fourth Proportional to 5,744.21, 7,927.76 and 3,506.39

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Solution

The fourth proportional to 5,744.21, 7,927.76 and 3,506.39 is: 4,839.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.21 : 7,927.76 = 3,506.39 : x
  2. Step 2: Convert to fraction form
    5,744.21/7,927.76 = 3,506.39/x
  3. Step 3: Cross multiply
    5,744.21x = 7,927.76 × 3,506.39
  4. Step 4: Simplify right side
    5,744.21x = 27,797,761.22
  5. Step 5: Solve for x
    x = 27,797,761.22/5,744.21
  6. Step 6: Final answer
    x = 4,839.27

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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.