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Finding the Fourth Proportional to 5,780.67, 7,968.84 and 4,096.86

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Solution

The fourth proportional to 5,780.67, 7,968.84 and 4,096.86 is: 5,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.67 : 7,968.84 = 4,096.86 : x
  2. Step 2: Convert to fraction form
    5,780.67/7,968.84 = 4,096.86/x
  3. Step 3: Cross multiply
    5,780.67x = 7,968.84 × 4,096.86
  4. Step 4: Simplify right side
    5,780.67x = 32,647,221.84
  5. Step 5: Solve for x
    x = 32,647,221.84/5,780.67
  6. Step 6: Final answer
    x = 5,647.65

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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.