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Finding the Fourth Proportional to 4,640.09, 6,400.01 and 3,070.31

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Solution

The fourth proportional to 4,640.09, 6,400.01 and 3,070.31 is: 4,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.09 : 6,400.01 = 3,070.31 : x
  2. Step 2: Convert to fraction form
    4,640.09/6,400.01 = 3,070.31/x
  3. Step 3: Cross multiply
    4,640.09x = 6,400.01 × 3,070.31
  4. Step 4: Simplify right side
    4,640.09x = 19,649,990.38
  5. Step 5: Solve for x
    x = 19,649,990.38/4,640.09
  6. Step 6: Final answer
    x = 4,234.83

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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.