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Finding the Fourth Proportional to 5,441.56, 8,162.56 and 1,743.92

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Solution

The fourth proportional to 5,441.56, 8,162.56 and 1,743.92 is: 2,615.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.56 : 8,162.56 = 1,743.92 : x
  2. Step 2: Convert to fraction form
    5,441.56/8,162.56 = 1,743.92/x
  3. Step 3: Cross multiply
    5,441.56x = 8,162.56 × 1,743.92
  4. Step 4: Simplify right side
    5,441.56x = 14,234,851.64
  5. Step 5: Solve for x
    x = 14,234,851.64/5,441.56
  6. Step 6: Final answer
    x = 2,615.95

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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.