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Finding the Fourth Proportional to 3,975.96, 5,486.94 and 2,207.64

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Solution

The fourth proportional to 3,975.96, 5,486.94 and 2,207.64 is: 3,046.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.96 : 5,486.94 = 2,207.64 : x
  2. Step 2: Convert to fraction form
    3,975.96/5,486.94 = 2,207.64/x
  3. Step 3: Cross multiply
    3,975.96x = 5,486.94 × 2,207.64
  4. Step 4: Simplify right side
    3,975.96x = 12,113,188.22
  5. Step 5: Solve for x
    x = 12,113,188.22/3,975.96
  6. Step 6: Final answer
    x = 3,046.61

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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.