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Finding the Fourth Proportional to 4,993.40, 7,480.20 and 4,377.80

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Solution

The fourth proportional to 4,993.40, 7,480.20 and 4,377.80 is: 6,558.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.40 : 7,480.20 = 4,377.80 : x
  2. Step 2: Convert to fraction form
    4,993.40/7,480.20 = 4,377.80/x
  3. Step 3: Cross multiply
    4,993.40x = 7,480.20 × 4,377.80
  4. Step 4: Simplify right side
    4,993.40x = 32,746,819.56
  5. Step 5: Solve for x
    x = 32,746,819.56/4,993.40
  6. Step 6: Final answer
    x = 6,558.02

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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.