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Finding the Fourth Proportional to 5,195.64, 7,167.29 and 3,517.66

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Solution

The fourth proportional to 5,195.64, 7,167.29 and 3,517.66 is: 4,852.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.64 : 7,167.29 = 3,517.66 : x
  2. Step 2: Convert to fraction form
    5,195.64/7,167.29 = 3,517.66/x
  3. Step 3: Cross multiply
    5,195.64x = 7,167.29 × 3,517.66
  4. Step 4: Simplify right side
    5,195.64x = 25,212,080.71
  5. Step 5: Solve for x
    x = 25,212,080.71/5,195.64
  6. Step 6: Final answer
    x = 4,852.54

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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.