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Finding the Fourth Proportional to 3,613.64, 5,425.65 and 2,229.70

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Solution

The fourth proportional to 3,613.64, 5,425.65 and 2,229.70 is: 3,347.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.64 : 5,425.65 = 2,229.70 : x
  2. Step 2: Convert to fraction form
    3,613.64/5,425.65 = 2,229.70/x
  3. Step 3: Cross multiply
    3,613.64x = 5,425.65 × 2,229.70
  4. Step 4: Simplify right side
    3,613.64x = 12,097,571.81
  5. Step 5: Solve for x
    x = 12,097,571.81/3,613.64
  6. Step 6: Final answer
    x = 3,347.75

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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.