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Finding the Fourth Proportional to 3,785.82, 5,668.10 and 2,858.46

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Solution

The fourth proportional to 3,785.82, 5,668.10 and 2,858.46 is: 4,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.82 : 5,668.10 = 2,858.46 : x
  2. Step 2: Convert to fraction form
    3,785.82/5,668.10 = 2,858.46/x
  3. Step 3: Cross multiply
    3,785.82x = 5,668.10 × 2,858.46
  4. Step 4: Simplify right side
    3,785.82x = 16,202,037.13
  5. Step 5: Solve for x
    x = 16,202,037.13/3,785.82
  6. Step 6: Final answer
    x = 4,279.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.