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Finding the Fourth Proportional to 3,517.41, 4,864.50 and 3,143.80

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Solution

The fourth proportional to 3,517.41, 4,864.50 and 3,143.80 is: 4,347.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.41 : 4,864.50 = 3,143.80 : x
  2. Step 2: Convert to fraction form
    3,517.41/4,864.50 = 3,143.80/x
  3. Step 3: Cross multiply
    3,517.41x = 4,864.50 × 3,143.80
  4. Step 4: Simplify right side
    3,517.41x = 15,293,015.10
  5. Step 5: Solve for x
    x = 15,293,015.10/3,517.41
  6. Step 6: Final answer
    x = 4,347.81

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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.