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Finding the Fourth Proportional to 3,144.96, 4,722.84 and 3,006.45

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Solution

The fourth proportional to 3,144.96, 4,722.84 and 3,006.45 is: 4,514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.96 : 4,722.84 = 3,006.45 : x
  2. Step 2: Convert to fraction form
    3,144.96/4,722.84 = 3,006.45/x
  3. Step 3: Cross multiply
    3,144.96x = 4,722.84 × 3,006.45
  4. Step 4: Simplify right side
    3,144.96x = 14,198,982.32
  5. Step 5: Solve for x
    x = 14,198,982.32/3,144.96
  6. Step 6: Final answer
    x = 4,514.84

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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.