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Finding the Fourth Proportional to 5,710.23, 7,879.69 and 3,471.80

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Solution

The fourth proportional to 5,710.23, 7,879.69 and 3,471.80 is: 4,790.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.23 : 7,879.69 = 3,471.80 : x
  2. Step 2: Convert to fraction form
    5,710.23/7,879.69 = 3,471.80/x
  3. Step 3: Cross multiply
    5,710.23x = 7,879.69 × 3,471.80
  4. Step 4: Simplify right side
    5,710.23x = 27,356,650.98
  5. Step 5: Solve for x
    x = 27,356,650.98/5,710.23
  6. Step 6: Final answer
    x = 4,790.81

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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.