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Finding the Fourth Proportional to 4,676, 6,454 and 2,906.48

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Solution

The fourth proportional to 4,676, 6,454 and 2,906.48 is: 4,011.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676 : 6,454 = 2,906.48 : x
  2. Step 2: Convert to fraction form
    4,676/6,454 = 2,906.48/x
  3. Step 3: Cross multiply
    4,676x = 6,454 × 2,906.48
  4. Step 4: Simplify right side
    4,676x = 18,758,421.92
  5. Step 5: Solve for x
    x = 18,758,421.92/4,676
  6. Step 6: Final answer
    x = 4,011.64

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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.