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Finding the Fourth Proportional to 5,359.34, 8,039.37 and 1,661.08

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Solution

The fourth proportional to 5,359.34, 8,039.37 and 1,661.08 is: 2,491.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359.34 : 8,039.37 = 1,661.08 : x
  2. Step 2: Convert to fraction form
    5,359.34/8,039.37 = 1,661.08/x
  3. Step 3: Cross multiply
    5,359.34x = 8,039.37 × 1,661.08
  4. Step 4: Simplify right side
    5,359.34x = 13,354,016.62
  5. Step 5: Solve for x
    x = 13,354,016.62/5,359.34
  6. Step 6: Final answer
    x = 2,491.73

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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.