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Finding the Fourth Proportional to 3,361.64, 5,042.76 and 1,281.06

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Solution

The fourth proportional to 3,361.64, 5,042.76 and 1,281.06 is: 1,921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.64 : 5,042.76 = 1,281.06 : x
  2. Step 2: Convert to fraction form
    3,361.64/5,042.76 = 1,281.06/x
  3. Step 3: Cross multiply
    3,361.64x = 5,042.76 × 1,281.06
  4. Step 4: Simplify right side
    3,361.64x = 6,460,078.13
  5. Step 5: Solve for x
    x = 6,460,078.13/3,361.64
  6. Step 6: Final answer
    x = 1,921.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.