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Finding the Fourth Proportional to 4,230.20, 6,338.20 and 2,034.12

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Solution

The fourth proportional to 4,230.20, 6,338.20 and 2,034.12 is: 3,047.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.20 : 6,338.20 = 2,034.12 : x
  2. Step 2: Convert to fraction form
    4,230.20/6,338.20 = 2,034.12/x
  3. Step 3: Cross multiply
    4,230.20x = 6,338.20 × 2,034.12
  4. Step 4: Simplify right side
    4,230.20x = 12,892,659.38
  5. Step 5: Solve for x
    x = 12,892,659.38/4,230.20
  6. Step 6: Final answer
    x = 3,047.77

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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.