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Finding the Fourth Proportional to 3,546.80, 4,893.98 and 2,054.46

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Solution

The fourth proportional to 3,546.80, 4,893.98 and 2,054.46 is: 2,834.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.80 : 4,893.98 = 2,054.46 : x
  2. Step 2: Convert to fraction form
    3,546.80/4,893.98 = 2,054.46/x
  3. Step 3: Cross multiply
    3,546.80x = 4,893.98 × 2,054.46
  4. Step 4: Simplify right side
    3,546.80x = 10,054,491.29
  5. Step 5: Solve for x
    x = 10,054,491.29/3,546.80
  6. Step 6: Final answer
    x = 2,834.80

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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.