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Finding the Fourth Proportional to 5,849.74, 8,768.94 and 2,560.33

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Solution

The fourth proportional to 5,849.74, 8,768.94 and 2,560.33 is: 3,838.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.74 : 8,768.94 = 2,560.33 : x
  2. Step 2: Convert to fraction form
    5,849.74/8,768.94 = 2,560.33/x
  3. Step 3: Cross multiply
    5,849.74x = 8,768.94 × 2,560.33
  4. Step 4: Simplify right side
    5,849.74x = 22,451,380.15
  5. Step 5: Solve for x
    x = 22,451,380.15/5,849.74
  6. Step 6: Final answer
    x = 3,838.01

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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.