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Finding the Fourth Proportional to 3,546.30, 4,893.23 and 2,054.10

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Solution

The fourth proportional to 3,546.30, 4,893.23 and 2,054.10 is: 2,834.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.30 : 4,893.23 = 2,054.10 : x
  2. Step 2: Convert to fraction form
    3,546.30/4,893.23 = 2,054.10/x
  3. Step 3: Cross multiply
    3,546.30x = 4,893.23 × 2,054.10
  4. Step 4: Simplify right side
    3,546.30x = 10,051,183.74
  5. Step 5: Solve for x
    x = 10,051,183.74/3,546.30
  6. Step 6: Final answer
    x = 2,834.27

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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.