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Finding the Fourth Proportional to 5,664.67, 8,497 and 1,769.41

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Solution

The fourth proportional to 5,664.67, 8,497 and 1,769.41 is: 2,654.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.67 : 8,497 = 1,769.41 : x
  2. Step 2: Convert to fraction form
    5,664.67/8,497 = 1,769.41/x
  3. Step 3: Cross multiply
    5,664.67x = 8,497 × 1,769.41
  4. Step 4: Simplify right side
    5,664.67x = 15,034,676.77
  5. Step 5: Solve for x
    x = 15,034,676.77/5,664.67
  6. Step 6: Final answer
    x = 2,654.11

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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.