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Finding the Fourth Proportional to 4,630.17, 6,389.68 and 2,640.84

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Solution

The fourth proportional to 4,630.17, 6,389.68 and 2,640.84 is: 3,644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.17 : 6,389.68 = 2,640.84 : x
  2. Step 2: Convert to fraction form
    4,630.17/6,389.68 = 2,640.84/x
  3. Step 3: Cross multiply
    4,630.17x = 6,389.68 × 2,640.84
  4. Step 4: Simplify right side
    4,630.17x = 16,874,122.53
  5. Step 5: Solve for x
    x = 16,874,122.53/4,630.17
  6. Step 6: Final answer
    x = 3,644.39

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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.