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Finding the Fourth Proportional to 4,659.57, 6,982.79 and 3,614.72

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Solution

The fourth proportional to 4,659.57, 6,982.79 and 3,614.72 is: 5,416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.57 : 6,982.79 = 3,614.72 : x
  2. Step 2: Convert to fraction form
    4,659.57/6,982.79 = 3,614.72/x
  3. Step 3: Cross multiply
    4,659.57x = 6,982.79 × 3,614.72
  4. Step 4: Simplify right side
    4,659.57x = 25,240,777.68
  5. Step 5: Solve for x
    x = 25,240,777.68/4,659.57
  6. Step 6: Final answer
    x = 5,416.98

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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.