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Finding the Fourth Proportional to 3,613.20, 5,411.70 and 2,965.20

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Solution

The fourth proportional to 3,613.20, 5,411.70 and 2,965.20 is: 4,441.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.20 : 5,411.70 = 2,965.20 : x
  2. Step 2: Convert to fraction form
    3,613.20/5,411.70 = 2,965.20/x
  3. Step 3: Cross multiply
    3,613.20x = 5,411.70 × 2,965.20
  4. Step 4: Simplify right side
    3,613.20x = 16,046,772.84
  5. Step 5: Solve for x
    x = 16,046,772.84/3,613.20
  6. Step 6: Final answer
    x = 4,441.15

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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.