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Finding the Fourth Proportional to 4,636.92, 6,399 and 2,541

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Solution

The fourth proportional to 4,636.92, 6,399 and 2,541 is: 3,506.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.92 : 6,399 = 2,541 : x
  2. Step 2: Convert to fraction form
    4,636.92/6,399 = 2,541/x
  3. Step 3: Cross multiply
    4,636.92x = 6,399 × 2,541
  4. Step 4: Simplify right side
    4,636.92x = 16,259,859
  5. Step 5: Solve for x
    x = 16,259,859/4,636.92
  6. Step 6: Final answer
    x = 3,506.61

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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.