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Finding the Fourth Proportional to 5,967.82, 8,235.54 and 3,449.74

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Solution

The fourth proportional to 5,967.82, 8,235.54 and 3,449.74 is: 4,760.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.82 : 8,235.54 = 3,449.74 : x
  2. Step 2: Convert to fraction form
    5,967.82/8,235.54 = 3,449.74/x
  3. Step 3: Cross multiply
    5,967.82x = 8,235.54 × 3,449.74
  4. Step 4: Simplify right side
    5,967.82x = 28,410,471.76
  5. Step 5: Solve for x
    x = 28,410,471.76/5,967.82
  6. Step 6: Final answer
    x = 4,760.61

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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.