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Finding the Fourth Proportional to 4,609.51, 6,922.61 and 4,238.64

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Solution

The fourth proportional to 4,609.51, 6,922.61 and 4,238.64 is: 6,365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.51 : 6,922.61 = 4,238.64 : x
  2. Step 2: Convert to fraction form
    4,609.51/6,922.61 = 4,238.64/x
  3. Step 3: Cross multiply
    4,609.51x = 6,922.61 × 4,238.64
  4. Step 4: Simplify right side
    4,609.51x = 29,342,451.65
  5. Step 5: Solve for x
    x = 29,342,451.65/4,609.51
  6. Step 6: Final answer
    x = 6,365.63

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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.