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Finding the Fourth Proportional to 3,903.22, 5,854.46 and 2,147.65

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Solution

The fourth proportional to 3,903.22, 5,854.46 and 2,147.65 is: 3,221.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.22 : 5,854.46 = 2,147.65 : x
  2. Step 2: Convert to fraction form
    3,903.22/5,854.46 = 2,147.65/x
  3. Step 3: Cross multiply
    3,903.22x = 5,854.46 × 2,147.65
  4. Step 4: Simplify right side
    3,903.22x = 12,573,316.62
  5. Step 5: Solve for x
    x = 12,573,316.62/3,903.22
  6. Step 6: Final answer
    x = 3,221.27

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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.