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Finding the Fourth Proportional to 3,080.19, 4,229.16 and 3,000

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Solution

The fourth proportional to 3,080.19, 4,229.16 and 3,000 is: 4,119.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080.19 : 4,229.16 = 3,000 : x
  2. Step 2: Convert to fraction form
    3,080.19/4,229.16 = 3,000/x
  3. Step 3: Cross multiply
    3,080.19x = 4,229.16 × 3,000
  4. Step 4: Simplify right side
    3,080.19x = 12,687,480
  5. Step 5: Solve for x
    x = 12,687,480/3,080.19
  6. Step 6: Final answer
    x = 4,119.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.