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Finding the Fourth Proportional to 4,227.30, 6,341.02 and 1,305.60

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Solution

The fourth proportional to 4,227.30, 6,341.02 and 1,305.60 is: 1,958.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.30 : 6,341.02 = 1,305.60 : x
  2. Step 2: Convert to fraction form
    4,227.30/6,341.02 = 1,305.60/x
  3. Step 3: Cross multiply
    4,227.30x = 6,341.02 × 1,305.60
  4. Step 4: Simplify right side
    4,227.30x = 8,278,835.71
  5. Step 5: Solve for x
    x = 8,278,835.71/4,227.30
  6. Step 6: Final answer
    x = 1,958.42

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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.