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Finding the Fourth Proportional to 3,609.71, 5,414.57 and 2,953.61

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Solution

The fourth proportional to 3,609.71, 5,414.57 and 2,953.61 is: 4,430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.71 : 5,414.57 = 2,953.61 : x
  2. Step 2: Convert to fraction form
    3,609.71/5,414.57 = 2,953.61/x
  3. Step 3: Cross multiply
    3,609.71x = 5,414.57 × 2,953.61
  4. Step 4: Simplify right side
    3,609.71x = 15,992,528.10
  5. Step 5: Solve for x
    x = 15,992,528.10/3,609.71
  6. Step 6: Final answer
    x = 4,430.42

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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.