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Finding the Fourth Proportional to 4,780.24, 7,173.14 and 2,006.70

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Solution

The fourth proportional to 4,780.24, 7,173.14 and 2,006.70 is: 3,011.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.24 : 7,173.14 = 2,006.70 : x
  2. Step 2: Convert to fraction form
    4,780.24/7,173.14 = 2,006.70/x
  3. Step 3: Cross multiply
    4,780.24x = 7,173.14 × 2,006.70
  4. Step 4: Simplify right side
    4,780.24x = 14,394,340.04
  5. Step 5: Solve for x
    x = 14,394,340.04/4,780.24
  6. Step 6: Final answer
    x = 3,011.22

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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.