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Finding the Fourth Proportional to 5,294.05, 7,941.54 and 2,174.29

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Solution

The fourth proportional to 5,294.05, 7,941.54 and 2,174.29 is: 3,261.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.05 : 7,941.54 = 2,174.29 : x
  2. Step 2: Convert to fraction form
    5,294.05/7,941.54 = 2,174.29/x
  3. Step 3: Cross multiply
    5,294.05x = 7,941.54 × 2,174.29
  4. Step 4: Simplify right side
    5,294.05x = 17,267,211.01
  5. Step 5: Solve for x
    x = 17,267,211.01/5,294.05
  6. Step 6: Final answer
    x = 3,261.63

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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.