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Finding the Fourth Proportional to 4,576.62, 6,863.13 and 1,614.90

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Solution

The fourth proportional to 4,576.62, 6,863.13 and 1,614.90 is: 2,421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.62 : 6,863.13 = 1,614.90 : x
  2. Step 2: Convert to fraction form
    4,576.62/6,863.13 = 1,614.90/x
  3. Step 3: Cross multiply
    4,576.62x = 6,863.13 × 1,614.90
  4. Step 4: Simplify right side
    4,576.62x = 11,083,268.64
  5. Step 5: Solve for x
    x = 11,083,268.64/4,576.62
  6. Step 6: Final answer
    x = 2,421.71

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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.