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Finding the Fourth Proportional to 5,192.04, 7,777.70 and 3,544.50

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Solution

The fourth proportional to 5,192.04, 7,777.70 and 3,544.50 is: 5,309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.04 : 7,777.70 = 3,544.50 : x
  2. Step 2: Convert to fraction form
    5,192.04/7,777.70 = 3,544.50/x
  3. Step 3: Cross multiply
    5,192.04x = 7,777.70 × 3,544.50
  4. Step 4: Simplify right side
    5,192.04x = 27,568,057.65
  5. Step 5: Solve for x
    x = 27,568,057.65/5,192.04
  6. Step 6: Final answer
    x = 5,309.68

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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.