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Finding the Fourth Proportional to 5,771.48, 8,659.62 and 2,768.00

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Solution

The fourth proportional to 5,771.48, 8,659.62 and 2,768.00 is: 4,153.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.48 : 8,659.62 = 2,768.00 : x
  2. Step 2: Convert to fraction form
    5,771.48/8,659.62 = 2,768.00/x
  3. Step 3: Cross multiply
    5,771.48x = 8,659.62 × 2,768.00
  4. Step 4: Simplify right side
    5,771.48x = 23,969,849.81
  5. Step 5: Solve for x
    x = 23,969,849.81/5,771.48
  6. Step 6: Final answer
    x = 4,153.15

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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.