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Finding the Fourth Proportional to 5,294.63, 7,946.33 and 2,662.89

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Solution

The fourth proportional to 5,294.63, 7,946.33 and 2,662.89 is: 3,996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.63 : 7,946.33 = 2,662.89 : x
  2. Step 2: Convert to fraction form
    5,294.63/7,946.33 = 2,662.89/x
  3. Step 3: Cross multiply
    5,294.63x = 7,946.33 × 2,662.89
  4. Step 4: Simplify right side
    5,294.63x = 21,160,189.38
  5. Step 5: Solve for x
    x = 21,160,189.38/5,294.63
  6. Step 6: Final answer
    x = 3,996.54

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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.