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Finding the Fourth Proportional to 3,410.81, 4,704.78 and 2,854.04

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Solution

The fourth proportional to 3,410.81, 4,704.78 and 2,854.04 is: 3,936.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.81 : 4,704.78 = 2,854.04 : x
  2. Step 2: Convert to fraction form
    3,410.81/4,704.78 = 2,854.04/x
  3. Step 3: Cross multiply
    3,410.81x = 4,704.78 × 2,854.04
  4. Step 4: Simplify right side
    3,410.81x = 13,427,617.49
  5. Step 5: Solve for x
    x = 13,427,617.49/3,410.81
  6. Step 6: Final answer
    x = 3,936.78

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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.