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Finding the Fourth Proportional to 4,005.70, 6,008.82 and 2,542.84

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Solution

The fourth proportional to 4,005.70, 6,008.82 and 2,542.84 is: 3,814.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.70 : 6,008.82 = 2,542.84 : x
  2. Step 2: Convert to fraction form
    4,005.70/6,008.82 = 2,542.84/x
  3. Step 3: Cross multiply
    4,005.70x = 6,008.82 × 2,542.84
  4. Step 4: Simplify right side
    4,005.70x = 15,279,467.85
  5. Step 5: Solve for x
    x = 15,279,467.85/4,005.70
  6. Step 6: Final answer
    x = 3,814.43

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