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Finding the Fourth Proportional to 5,324.67, 7,929 and 5,266.44

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Solution

The fourth proportional to 5,324.67, 7,929 and 5,266.44 is: 7,842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.67 : 7,929 = 5,266.44 : x
  2. Step 2: Convert to fraction form
    5,324.67/7,929 = 5,266.44/x
  3. Step 3: Cross multiply
    5,324.67x = 7,929 × 5,266.44
  4. Step 4: Simplify right side
    5,324.67x = 41,757,602.76
  5. Step 5: Solve for x
    x = 41,757,602.76/5,324.67
  6. Step 6: Final answer
    x = 7,842.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.