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Finding the Fourth Proportional to 3,387.92, 4,676.72 and 2,062

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Solution

The fourth proportional to 3,387.92, 4,676.72 and 2,062 is: 2,846.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.92 : 4,676.72 = 2,062 : x
  2. Step 2: Convert to fraction form
    3,387.92/4,676.72 = 2,062/x
  3. Step 3: Cross multiply
    3,387.92x = 4,676.72 × 2,062
  4. Step 4: Simplify right side
    3,387.92x = 9,643,396.64
  5. Step 5: Solve for x
    x = 9,643,396.64/3,387.92
  6. Step 6: Final answer
    x = 2,846.41

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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.