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Finding the Fourth Proportional to 4,638, 6,400.46 and 2,513.57

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Solution

The fourth proportional to 4,638, 6,400.46 and 2,513.57 is: 3,468.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638 : 6,400.46 = 2,513.57 : x
  2. Step 2: Convert to fraction form
    4,638/6,400.46 = 2,513.57/x
  3. Step 3: Cross multiply
    4,638x = 6,400.46 × 2,513.57
  4. Step 4: Simplify right side
    4,638x = 16,087,959.67
  5. Step 5: Solve for x
    x = 16,087,959.67/4,638
  6. Step 6: Final answer
    x = 3,468.73

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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.