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Finding the Fourth Proportional to 4,005, 5,527.38 and 2,608.92

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Solution

The fourth proportional to 4,005, 5,527.38 and 2,608.92 is: 3,600.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005 : 5,527.38 = 2,608.92 : x
  2. Step 2: Convert to fraction form
    4,005/5,527.38 = 2,608.92/x
  3. Step 3: Cross multiply
    4,005x = 5,527.38 × 2,608.92
  4. Step 4: Simplify right side
    4,005x = 14,420,492.23
  5. Step 5: Solve for x
    x = 14,420,492.23/4,005
  6. Step 6: Final answer
    x = 3,600.62

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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.