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Finding the Fourth Proportional to 4,614.42, 6,917.04 and 3,987.24

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Solution

The fourth proportional to 4,614.42, 6,917.04 and 3,987.24 is: 5,976.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.42 : 6,917.04 = 3,987.24 : x
  2. Step 2: Convert to fraction form
    4,614.42/6,917.04 = 3,987.24/x
  3. Step 3: Cross multiply
    4,614.42x = 6,917.04 × 3,987.24
  4. Step 4: Simplify right side
    4,614.42x = 27,579,898.57
  5. Step 5: Solve for x
    x = 27,579,898.57/4,614.42
  6. Step 6: Final answer
    x = 5,976.89

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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.