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Finding the Fourth Proportional to 4,074.80, 6,112.20 and 3,102.80

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Solution

The fourth proportional to 4,074.80, 6,112.20 and 3,102.80 is: 4,654.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.80 : 6,112.20 = 3,102.80 : x
  2. Step 2: Convert to fraction form
    4,074.80/6,112.20 = 3,102.80/x
  3. Step 3: Cross multiply
    4,074.80x = 6,112.20 × 3,102.80
  4. Step 4: Simplify right side
    4,074.80x = 18,964,934.16
  5. Step 5: Solve for x
    x = 18,964,934.16/4,074.80
  6. Step 6: Final answer
    x = 4,654.20

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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.