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Finding the Fourth Proportional to 3,389.48, 4,676.92 and 2,129.64

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Solution

The fourth proportional to 3,389.48, 4,676.92 and 2,129.64 is: 2,938.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.48 : 4,676.92 = 2,129.64 : x
  2. Step 2: Convert to fraction form
    3,389.48/4,676.92 = 2,129.64/x
  3. Step 3: Cross multiply
    3,389.48x = 4,676.92 × 2,129.64
  4. Step 4: Simplify right side
    3,389.48x = 9,960,171.73
  5. Step 5: Solve for x
    x = 9,960,171.73/3,389.48
  6. Step 6: Final answer
    x = 2,938.56

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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.