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Finding the Fourth Proportional to 4,141.97, 5,718.04 and 3,195.64

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Solution

The fourth proportional to 4,141.97, 5,718.04 and 3,195.64 is: 4,411.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.97 : 5,718.04 = 3,195.64 : x
  2. Step 2: Convert to fraction form
    4,141.97/5,718.04 = 3,195.64/x
  3. Step 3: Cross multiply
    4,141.97x = 5,718.04 × 3,195.64
  4. Step 4: Simplify right side
    4,141.97x = 18,272,814.48
  5. Step 5: Solve for x
    x = 18,272,814.48/4,141.97
  6. Step 6: Final answer
    x = 4,411.62

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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.