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Finding the Fourth Proportional to 4,662.86, 6,441.81 and 3,481.88

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Solution

The fourth proportional to 4,662.86, 6,441.81 and 3,481.88 is: 4,810.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.86 : 6,441.81 = 3,481.88 : x
  2. Step 2: Convert to fraction form
    4,662.86/6,441.81 = 3,481.88/x
  3. Step 3: Cross multiply
    4,662.86x = 6,441.81 × 3,481.88
  4. Step 4: Simplify right side
    4,662.86x = 22,429,609.40
  5. Step 5: Solve for x
    x = 22,429,609.40/4,662.86
  6. Step 6: Final answer
    x = 4,810.27

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1.5x scale

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.