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Finding the Fourth Proportional to 5,768.96, 7,958.40 and 3,778.64

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Solution

The fourth proportional to 5,768.96, 7,958.40 and 3,778.64 is: 5,212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.96 : 7,958.40 = 3,778.64 : x
  2. Step 2: Convert to fraction form
    5,768.96/7,958.40 = 3,778.64/x
  3. Step 3: Cross multiply
    5,768.96x = 7,958.40 × 3,778.64
  4. Step 4: Simplify right side
    5,768.96x = 30,071,928.58
  5. Step 5: Solve for x
    x = 30,071,928.58/5,768.96
  6. Step 6: Final answer
    x = 5,212.71

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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.