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Finding the Fourth Proportional to 2,939.50, 4,027.16 and 2,828.80

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Solution

The fourth proportional to 2,939.50, 4,027.16 and 2,828.80 is: 3,875.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.50 : 4,027.16 = 2,828.80 : x
  2. Step 2: Convert to fraction form
    2,939.50/4,027.16 = 2,828.80/x
  3. Step 3: Cross multiply
    2,939.50x = 4,027.16 × 2,828.80
  4. Step 4: Simplify right side
    2,939.50x = 11,392,030.21
  5. Step 5: Solve for x
    x = 11,392,030.21/2,939.50
  6. Step 6: Final answer
    x = 3,875.50

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.