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Finding the Fourth Proportional to 4,612, 6,364.56 and 2,516.12

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Solution

The fourth proportional to 4,612, 6,364.56 and 2,516.12 is: 3,472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612 : 6,364.56 = 2,516.12 : x
  2. Step 2: Convert to fraction form
    4,612/6,364.56 = 2,516.12/x
  3. Step 3: Cross multiply
    4,612x = 6,364.56 × 2,516.12
  4. Step 4: Simplify right side
    4,612x = 16,013,996.71
  5. Step 5: Solve for x
    x = 16,013,996.71/4,612
  6. Step 6: Final answer
    x = 3,472.25

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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.