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Finding the Fourth Proportional to 4,996.10, 7,494.15 and 4,782.80

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Solution

The fourth proportional to 4,996.10, 7,494.15 and 4,782.80 is: 7,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996.10 : 7,494.15 = 4,782.80 : x
  2. Step 2: Convert to fraction form
    4,996.10/7,494.15 = 4,782.80/x
  3. Step 3: Cross multiply
    4,996.10x = 7,494.15 × 4,782.80
  4. Step 4: Simplify right side
    4,996.10x = 35,843,020.62
  5. Step 5: Solve for x
    x = 35,843,020.62/4,996.10
  6. Step 6: Final answer
    x = 7,174.20

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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.