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Finding the Fourth Proportional to 4,308.38, 6,462.57 and 1,230.38

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Solution

The fourth proportional to 4,308.38, 6,462.57 and 1,230.38 is: 1,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.38 : 6,462.57 = 1,230.38 : x
  2. Step 2: Convert to fraction form
    4,308.38/6,462.57 = 1,230.38/x
  3. Step 3: Cross multiply
    4,308.38x = 6,462.57 × 1,230.38
  4. Step 4: Simplify right side
    4,308.38x = 7,951,384.56
  5. Step 5: Solve for x
    x = 7,951,384.56/4,308.38
  6. Step 6: Final answer
    x = 1,845.56

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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.