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Finding the Fourth Proportional to 3,546.16, 4,893.67 and 1,952.62

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Solution

The fourth proportional to 3,546.16, 4,893.67 and 1,952.62 is: 2,694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.16 : 4,893.67 = 1,952.62 : x
  2. Step 2: Convert to fraction form
    3,546.16/4,893.67 = 1,952.62/x
  3. Step 3: Cross multiply
    3,546.16x = 4,893.67 × 1,952.62
  4. Step 4: Simplify right side
    3,546.16x = 9,555,484.67
  5. Step 5: Solve for x
    x = 9,555,484.67/3,546.16
  6. Step 6: Final answer
    x = 2,694.60

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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.