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Finding the Fourth Proportional to 5,842.44, 8,776.56 and 5,064.84

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Solution

The fourth proportional to 5,842.44, 8,776.56 and 5,064.84 is: 7,608.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.44 : 8,776.56 = 5,064.84 : x
  2. Step 2: Convert to fraction form
    5,842.44/8,776.56 = 5,064.84/x
  3. Step 3: Cross multiply
    5,842.44x = 8,776.56 × 5,064.84
  4. Step 4: Simplify right side
    5,842.44x = 44,451,872.15
  5. Step 5: Solve for x
    x = 44,451,872.15/5,842.44
  6. Step 6: Final answer
    x = 7,608.44

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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.