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Finding the Fourth Proportional to 3,463.96, 5,192.70 and 1,517.32

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Solution

The fourth proportional to 3,463.96, 5,192.70 and 1,517.32 is: 2,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.96 : 5,192.70 = 1,517.32 : x
  2. Step 2: Convert to fraction form
    3,463.96/5,192.70 = 1,517.32/x
  3. Step 3: Cross multiply
    3,463.96x = 5,192.70 × 1,517.32
  4. Step 4: Simplify right side
    3,463.96x = 7,878,987.56
  5. Step 5: Solve for x
    x = 7,878,987.56/3,463.96
  6. Step 6: Final answer
    x = 2,274.56

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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.