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Finding the Fourth Proportional to 4,704.30, 7,021.62 and 4,150.80

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Solution

The fourth proportional to 4,704.30, 7,021.62 and 4,150.80 is: 6,195.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.30 : 7,021.62 = 4,150.80 : x
  2. Step 2: Convert to fraction form
    4,704.30/7,021.62 = 4,150.80/x
  3. Step 3: Cross multiply
    4,704.30x = 7,021.62 × 4,150.80
  4. Step 4: Simplify right side
    4,704.30x = 29,145,340.30
  5. Step 5: Solve for x
    x = 29,145,340.30/4,704.30
  6. Step 6: Final answer
    x = 6,195.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.