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Finding the Fourth Proportional to 5,338.21, 7,996.59 and 4,902.23

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Solution

The fourth proportional to 5,338.21, 7,996.59 and 4,902.23 is: 7,343.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.21 : 7,996.59 = 4,902.23 : x
  2. Step 2: Convert to fraction form
    5,338.21/7,996.59 = 4,902.23/x
  3. Step 3: Cross multiply
    5,338.21x = 7,996.59 × 4,902.23
  4. Step 4: Simplify right side
    5,338.21x = 39,201,083.41
  5. Step 5: Solve for x
    x = 39,201,083.41/5,338.21
  6. Step 6: Final answer
    x = 7,343.50

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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.