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Finding the Fourth Proportional to 4,760, 6,568.80 and 2,664.14

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Solution

The fourth proportional to 4,760, 6,568.80 and 2,664.14 is: 3,676.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760 : 6,568.80 = 2,664.14 : x
  2. Step 2: Convert to fraction form
    4,760/6,568.80 = 2,664.14/x
  3. Step 3: Cross multiply
    4,760x = 6,568.80 × 2,664.14
  4. Step 4: Simplify right side
    4,760x = 17,500,202.83
  5. Step 5: Solve for x
    x = 17,500,202.83/4,760
  6. Step 6: Final answer
    x = 3,676.51

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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.