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Finding the Fourth Proportional to 3,428.67, 4,732.02 and 2,546.97

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Solution

The fourth proportional to 3,428.67, 4,732.02 and 2,546.97 is: 3,515.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.67 : 4,732.02 = 2,546.97 : x
  2. Step 2: Convert to fraction form
    3,428.67/4,732.02 = 2,546.97/x
  3. Step 3: Cross multiply
    3,428.67x = 4,732.02 × 2,546.97
  4. Step 4: Simplify right side
    3,428.67x = 12,052,312.98
  5. Step 5: Solve for x
    x = 12,052,312.98/3,428.67
  6. Step 6: Final answer
    x = 3,515.16

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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.