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Finding the Fourth Proportional to 3,208.68, 4,428.10 and 1,792.29

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Solution

The fourth proportional to 3,208.68, 4,428.10 and 1,792.29 is: 2,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.68 : 4,428.10 = 1,792.29 : x
  2. Step 2: Convert to fraction form
    3,208.68/4,428.10 = 1,792.29/x
  3. Step 3: Cross multiply
    3,208.68x = 4,428.10 × 1,792.29
  4. Step 4: Simplify right side
    3,208.68x = 7,936,458.19
  5. Step 5: Solve for x
    x = 7,936,458.19/3,208.68
  6. Step 6: Final answer
    x = 2,473.43

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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.