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Finding the Fourth Proportional to 5,768.66, 8,652.70 and 1,608.64

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Solution

The fourth proportional to 5,768.66, 8,652.70 and 1,608.64 is: 2,412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.66 : 8,652.70 = 1,608.64 : x
  2. Step 2: Convert to fraction form
    5,768.66/8,652.70 = 1,608.64/x
  3. Step 3: Cross multiply
    5,768.66x = 8,652.70 × 1,608.64
  4. Step 4: Simplify right side
    5,768.66x = 13,919,079.33
  5. Step 5: Solve for x
    x = 13,919,079.33/5,768.66
  6. Step 6: Final answer
    x = 2,412.88

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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.