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Finding the Fourth Proportional to 5,192.37, 7,164.51 and 2,923.53

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Solution

The fourth proportional to 5,192.37, 7,164.51 and 2,923.53 is: 4,033.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.37 : 7,164.51 = 2,923.53 : x
  2. Step 2: Convert to fraction form
    5,192.37/7,164.51 = 2,923.53/x
  3. Step 3: Cross multiply
    5,192.37x = 7,164.51 × 2,923.53
  4. Step 4: Simplify right side
    5,192.37x = 20,945,659.92
  5. Step 5: Solve for x
    x = 20,945,659.92/5,192.37
  6. Step 6: Final answer
    x = 4,033.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.