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Finding the Fourth Proportional to 4,739.80, 7,095.12 and 3,092.80

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Solution

The fourth proportional to 4,739.80, 7,095.12 and 3,092.80 is: 4,629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.80 : 7,095.12 = 3,092.80 : x
  2. Step 2: Convert to fraction form
    4,739.80/7,095.12 = 3,092.80/x
  3. Step 3: Cross multiply
    4,739.80x = 7,095.12 × 3,092.80
  4. Step 4: Simplify right side
    4,739.80x = 21,943,757.80
  5. Step 5: Solve for x
    x = 21,943,757.80/4,739.80
  6. Step 6: Final answer
    x = 4,629.68

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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.