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Finding the Fourth Proportional to 4,768.96, 6,580.80 and 2,672.80

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Solution

The fourth proportional to 4,768.96, 6,580.80 and 2,672.80 is: 3,688.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.96 : 6,580.80 = 2,672.80 : x
  2. Step 2: Convert to fraction form
    4,768.96/6,580.80 = 2,672.80/x
  3. Step 3: Cross multiply
    4,768.96x = 6,580.80 × 2,672.80
  4. Step 4: Simplify right side
    4,768.96x = 17,589,162.24
  5. Step 5: Solve for x
    x = 17,589,162.24/4,768.96
  6. Step 6: Final answer
    x = 3,688.26

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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.