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Finding the Fourth Proportional to 4,260.96, 6,389.61 and 1,486.80

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Solution

The fourth proportional to 4,260.96, 6,389.61 and 1,486.80 is: 2,229.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,260.96 : 6,389.61 = 1,486.80 : x
  2. Step 2: Convert to fraction form
    4,260.96/6,389.61 = 1,486.80/x
  3. Step 3: Cross multiply
    4,260.96x = 6,389.61 × 1,486.80
  4. Step 4: Simplify right side
    4,260.96x = 9,500,072.15
  5. Step 5: Solve for x
    x = 9,500,072.15/4,260.96
  6. Step 6: Final answer
    x = 2,229.56

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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.