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Finding the Fourth Proportional to 5,609.41, 8,414.16 and 2,322.46

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Solution

The fourth proportional to 5,609.41, 8,414.16 and 2,322.46 is: 3,483.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.41 : 8,414.16 = 2,322.46 : x
  2. Step 2: Convert to fraction form
    5,609.41/8,414.16 = 2,322.46/x
  3. Step 3: Cross multiply
    5,609.41x = 8,414.16 × 2,322.46
  4. Step 4: Simplify right side
    5,609.41x = 19,541,550.03
  5. Step 5: Solve for x
    x = 19,541,550.03/5,609.41
  6. Step 6: Final answer
    x = 3,483.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.