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Finding the Fourth Proportional to 3,874.39, 5,785.35 and 3,043.33

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Solution

The fourth proportional to 3,874.39, 5,785.35 and 3,043.33 is: 4,544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.39 : 5,785.35 = 3,043.33 : x
  2. Step 2: Convert to fraction form
    3,874.39/5,785.35 = 3,043.33/x
  3. Step 3: Cross multiply
    3,874.39x = 5,785.35 × 3,043.33
  4. Step 4: Simplify right side
    3,874.39x = 17,606,729.22
  5. Step 5: Solve for x
    x = 17,606,729.22/3,874.39
  6. Step 6: Final answer
    x = 4,544.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.