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Finding the Fourth Proportional to 3,845.28, 5,306 and 2,189.28

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Solution

The fourth proportional to 3,845.28, 5,306 and 2,189.28 is: 3,020.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.28 : 5,306 = 2,189.28 : x
  2. Step 2: Convert to fraction form
    3,845.28/5,306 = 2,189.28/x
  3. Step 3: Cross multiply
    3,845.28x = 5,306 × 2,189.28
  4. Step 4: Simplify right side
    3,845.28x = 11,616,319.68
  5. Step 5: Solve for x
    x = 11,616,319.68/3,845.28
  6. Step 6: Final answer
    x = 3,020.93

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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.