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Finding the Fourth Proportional to 5,394.78, 7,423.23 and 4,135.38

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Solution

The fourth proportional to 5,394.78, 7,423.23 and 4,135.38 is: 5,690.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394.78 : 7,423.23 = 4,135.38 : x
  2. Step 2: Convert to fraction form
    5,394.78/7,423.23 = 4,135.38/x
  3. Step 3: Cross multiply
    5,394.78x = 7,423.23 × 4,135.38
  4. Step 4: Simplify right side
    5,394.78x = 30,697,876.88
  5. Step 5: Solve for x
    x = 30,697,876.88/5,394.78
  6. Step 6: Final answer
    x = 5,690.29

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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.