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Finding the Fourth Proportional to 3,206.71, 4,428.03 and 2,467.99

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Solution

The fourth proportional to 3,206.71, 4,428.03 and 2,467.99 is: 3,407.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.71 : 4,428.03 = 2,467.99 : x
  2. Step 2: Convert to fraction form
    3,206.71/4,428.03 = 2,467.99/x
  3. Step 3: Cross multiply
    3,206.71x = 4,428.03 × 2,467.99
  4. Step 4: Simplify right side
    3,206.71x = 10,928,333.76
  5. Step 5: Solve for x
    x = 10,928,333.76/3,206.71
  6. Step 6: Final answer
    x = 3,407.96

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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.