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Finding the Fourth Proportional to 4,994.60, 7,491.90 and 4,119.80

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Solution

The fourth proportional to 4,994.60, 7,491.90 and 4,119.80 is: 6,179.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,994.60 : 7,491.90 = 4,119.80 : x
  2. Step 2: Convert to fraction form
    4,994.60/7,491.90 = 4,119.80/x
  3. Step 3: Cross multiply
    4,994.60x = 7,491.90 × 4,119.80
  4. Step 4: Simplify right side
    4,994.60x = 30,865,129.62
  5. Step 5: Solve for x
    x = 30,865,129.62/4,994.60
  6. Step 6: Final answer
    x = 6,179.70

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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.