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Finding the Fourth Proportional to 3,878.28, 5,353.56 and 2,980.26

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Solution

The fourth proportional to 3,878.28, 5,353.56 and 2,980.26 is: 4,113.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.28 : 5,353.56 = 2,980.26 : x
  2. Step 2: Convert to fraction form
    3,878.28/5,353.56 = 2,980.26/x
  3. Step 3: Cross multiply
    3,878.28x = 5,353.56 × 2,980.26
  4. Step 4: Simplify right side
    3,878.28x = 15,955,000.73
  5. Step 5: Solve for x
    x = 15,955,000.73/3,878.28
  6. Step 6: Final answer
    x = 4,113.94

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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.