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Finding the Fourth Proportional to 4,765.92, 6,576.96 and 2,670

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Solution

The fourth proportional to 4,765.92, 6,576.96 and 2,670 is: 3,684.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.92 : 6,576.96 = 2,670 : x
  2. Step 2: Convert to fraction form
    4,765.92/6,576.96 = 2,670/x
  3. Step 3: Cross multiply
    4,765.92x = 6,576.96 × 2,670
  4. Step 4: Simplify right side
    4,765.92x = 17,560,483.20
  5. Step 5: Solve for x
    x = 17,560,483.20/4,765.92
  6. Step 6: Final answer
    x = 3,684.59

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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.