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Finding the Fourth Proportional to 4,906.28, 6,771.28 and 2,810.41

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Solution

The fourth proportional to 4,906.28, 6,771.28 and 2,810.41 is: 3,878.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.28 : 6,771.28 = 2,810.41 : x
  2. Step 2: Convert to fraction form
    4,906.28/6,771.28 = 2,810.41/x
  3. Step 3: Cross multiply
    4,906.28x = 6,771.28 × 2,810.41
  4. Step 4: Simplify right side
    4,906.28x = 19,030,073.02
  5. Step 5: Solve for x
    x = 19,030,073.02/4,906.28
  6. Step 6: Final answer
    x = 3,878.72

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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.