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Finding the Fourth Proportional to 4,359.67, 6,540.09 and 1,586.02

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Solution

The fourth proportional to 4,359.67, 6,540.09 and 1,586.02 is: 2,379.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,359.67 : 6,540.09 = 1,586.02 : x
  2. Step 2: Convert to fraction form
    4,359.67/6,540.09 = 1,586.02/x
  3. Step 3: Cross multiply
    4,359.67x = 6,540.09 × 1,586.02
  4. Step 4: Simplify right side
    4,359.67x = 10,372,713.54
  5. Step 5: Solve for x
    x = 10,372,713.54/4,359.67
  6. Step 6: Final answer
    x = 2,379.24

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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.