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Finding the Fourth Proportional to 3,546.17, 4,893.18 and 2,054.23

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Solution

The fourth proportional to 3,546.17, 4,893.18 and 2,054.23 is: 2,834.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.17 : 4,893.18 = 2,054.23 : x
  2. Step 2: Convert to fraction form
    3,546.17/4,893.18 = 2,054.23/x
  3. Step 3: Cross multiply
    3,546.17x = 4,893.18 × 2,054.23
  4. Step 4: Simplify right side
    3,546.17x = 10,051,717.15
  5. Step 5: Solve for x
    x = 10,051,717.15/3,546.17
  6. Step 6: Final answer
    x = 2,834.53

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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.