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Finding the Fourth Proportional to 3,785.58, 5,680.65 and 2,206.38

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Solution

The fourth proportional to 3,785.58, 5,680.65 and 2,206.38 is: 3,310.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.58 : 5,680.65 = 2,206.38 : x
  2. Step 2: Convert to fraction form
    3,785.58/5,680.65 = 2,206.38/x
  3. Step 3: Cross multiply
    3,785.58x = 5,680.65 × 2,206.38
  4. Step 4: Simplify right side
    3,785.58x = 12,533,672.55
  5. Step 5: Solve for x
    x = 12,533,672.55/3,785.58
  6. Step 6: Final answer
    x = 3,310.90

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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.