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Finding the Fourth Proportional to 3,465.80, 5,198.70 and 3,120.20

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Solution

The fourth proportional to 3,465.80, 5,198.70 and 3,120.20 is: 4,680.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.80 : 5,198.70 = 3,120.20 : x
  2. Step 2: Convert to fraction form
    3,465.80/5,198.70 = 3,120.20/x
  3. Step 3: Cross multiply
    3,465.80x = 5,198.70 × 3,120.20
  4. Step 4: Simplify right side
    3,465.80x = 16,220,983.74
  5. Step 5: Solve for x
    x = 16,220,983.74/3,465.80
  6. Step 6: Final answer
    x = 4,680.30

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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.