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Finding the Fourth Proportional to 5,409.43, 7,464.43 and 3,170.86

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Solution

The fourth proportional to 5,409.43, 7,464.43 and 3,170.86 is: 4,375.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.43 : 7,464.43 = 3,170.86 : x
  2. Step 2: Convert to fraction form
    5,409.43/7,464.43 = 3,170.86/x
  3. Step 3: Cross multiply
    5,409.43x = 7,464.43 × 3,170.86
  4. Step 4: Simplify right side
    5,409.43x = 23,668,662.51
  5. Step 5: Solve for x
    x = 23,668,662.51/5,409.43
  6. Step 6: Final answer
    x = 4,375.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.