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Finding the Fourth Proportional to 4,550.64, 6,828.84 and 2,606.64

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Solution

The fourth proportional to 4,550.64, 6,828.84 and 2,606.64 is: 3,911.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550.64 : 6,828.84 = 2,606.64 : x
  2. Step 2: Convert to fraction form
    4,550.64/6,828.84 = 2,606.64/x
  3. Step 3: Cross multiply
    4,550.64x = 6,828.84 × 2,606.64
  4. Step 4: Simplify right side
    4,550.64x = 17,800,327.50
  5. Step 5: Solve for x
    x = 17,800,327.50/4,550.64
  6. Step 6: Final answer
    x = 3,911.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.