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Finding the Fourth Proportional to 3,546.40, 4,894.49 and 2,034.55

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Solution

The fourth proportional to 3,546.40, 4,894.49 and 2,034.55 is: 2,807.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.40 : 4,894.49 = 2,034.55 : x
  2. Step 2: Convert to fraction form
    3,546.40/4,894.49 = 2,034.55/x
  3. Step 3: Cross multiply
    3,546.40x = 4,894.49 × 2,034.55
  4. Step 4: Simplify right side
    3,546.40x = 9,958,084.63
  5. Step 5: Solve for x
    x = 9,958,084.63/3,546.40
  6. Step 6: Final answer
    x = 2,807.94

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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.