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Finding the Fourth Proportional to 3,769.41, 5,206.80 and 3,142.02

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Solution

The fourth proportional to 3,769.41, 5,206.80 and 3,142.02 is: 4,340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.41 : 5,206.80 = 3,142.02 : x
  2. Step 2: Convert to fraction form
    3,769.41/5,206.80 = 3,142.02/x
  3. Step 3: Cross multiply
    3,769.41x = 5,206.80 × 3,142.02
  4. Step 4: Simplify right side
    3,769.41x = 16,359,869.74
  5. Step 5: Solve for x
    x = 16,359,869.74/3,769.41
  6. Step 6: Final answer
    x = 4,340.17

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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.