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Finding the Fourth Proportional to 4,640.15, 6,962.17 and 2,006.29

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Solution

The fourth proportional to 4,640.15, 6,962.17 and 2,006.29 is: 3,010.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.15 : 6,962.17 = 2,006.29 : x
  2. Step 2: Convert to fraction form
    4,640.15/6,962.17 = 2,006.29/x
  3. Step 3: Cross multiply
    4,640.15x = 6,962.17 × 2,006.29
  4. Step 4: Simplify right side
    4,640.15x = 13,968,132.05
  5. Step 5: Solve for x
    x = 13,968,132.05/4,640.15
  6. Step 6: Final answer
    x = 3,010.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.