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Finding the Fourth Proportional to 4,072, 6,104.92 and 1,605.52

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Solution

The fourth proportional to 4,072, 6,104.92 and 1,605.52 is: 2,407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072 : 6,104.92 = 1,605.52 : x
  2. Step 2: Convert to fraction form
    4,072/6,104.92 = 1,605.52/x
  3. Step 3: Cross multiply
    4,072x = 6,104.92 × 1,605.52
  4. Step 4: Simplify right side
    4,072x = 9,801,571.16
  5. Step 5: Solve for x
    x = 9,801,571.16/4,072
  6. Step 6: Final answer
    x = 2,407.07

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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.