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Finding the Fourth Proportional to 3,428.97, 4,732.02 and 1,857.06

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Solution

The fourth proportional to 3,428.97, 4,732.02 and 1,857.06 is: 2,562.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.97 : 4,732.02 = 1,857.06 : x
  2. Step 2: Convert to fraction form
    3,428.97/4,732.02 = 1,857.06/x
  3. Step 3: Cross multiply
    3,428.97x = 4,732.02 × 1,857.06
  4. Step 4: Simplify right side
    3,428.97x = 8,787,645.06
  5. Step 5: Solve for x
    x = 8,787,645.06/3,428.97
  6. Step 6: Final answer
    x = 2,562.77

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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.