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Finding the Fourth Proportional to 4,676.32, 6,454.56 and 2,906.92

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Solution

The fourth proportional to 4,676.32, 6,454.56 and 2,906.92 is: 4,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.32 : 6,454.56 = 2,906.92 : x
  2. Step 2: Convert to fraction form
    4,676.32/6,454.56 = 2,906.92/x
  3. Step 3: Cross multiply
    4,676.32x = 6,454.56 × 2,906.92
  4. Step 4: Simplify right side
    4,676.32x = 18,762,889.56
  5. Step 5: Solve for x
    x = 18,762,889.56/4,676.32
  6. Step 6: Final answer
    x = 4,012.32

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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.