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Finding the Fourth Proportional to 4,735.37, 7,103.37 and 1,614.56

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Solution

The fourth proportional to 4,735.37, 7,103.37 and 1,614.56 is: 2,421.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.37 : 7,103.37 = 1,614.56 : x
  2. Step 2: Convert to fraction form
    4,735.37/7,103.37 = 1,614.56/x
  3. Step 3: Cross multiply
    4,735.37x = 7,103.37 × 1,614.56
  4. Step 4: Simplify right side
    4,735.37x = 11,468,781.55
  5. Step 5: Solve for x
    x = 11,468,781.55/4,735.37
  6. Step 6: Final answer
    x = 2,421.94

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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.