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Finding the Fourth Proportional to 4,172, 5,757.36 and 2,516.96

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Solution

The fourth proportional to 4,172, 5,757.36 and 2,516.96 is: 3,473.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172 : 5,757.36 = 2,516.96 : x
  2. Step 2: Convert to fraction form
    4,172/5,757.36 = 2,516.96/x
  3. Step 3: Cross multiply
    4,172x = 5,757.36 × 2,516.96
  4. Step 4: Simplify right side
    4,172x = 14,491,044.83
  5. Step 5: Solve for x
    x = 14,491,044.83/4,172
  6. Step 6: Final answer
    x = 3,473.40

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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.