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Finding the Fourth Proportional to 4,922.76, 7,382.30 and 2,000.08

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Solution

The fourth proportional to 4,922.76, 7,382.30 and 2,000.08 is: 2,999.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.76 : 7,382.30 = 2,000.08 : x
  2. Step 2: Convert to fraction form
    4,922.76/7,382.30 = 2,000.08/x
  3. Step 3: Cross multiply
    4,922.76x = 7,382.30 × 2,000.08
  4. Step 4: Simplify right side
    4,922.76x = 14,765,190.58
  5. Step 5: Solve for x
    x = 14,765,190.58/4,922.76
  6. Step 6: Final answer
    x = 2,999.37

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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.