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Finding the Fourth Proportional to 4,057.59, 6,084.06 and 1,589.52

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Solution

The fourth proportional to 4,057.59, 6,084.06 and 1,589.52 is: 2,383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.59 : 6,084.06 = 1,589.52 : x
  2. Step 2: Convert to fraction form
    4,057.59/6,084.06 = 1,589.52/x
  3. Step 3: Cross multiply
    4,057.59x = 6,084.06 × 1,589.52
  4. Step 4: Simplify right side
    4,057.59x = 9,670,735.05
  5. Step 5: Solve for x
    x = 9,670,735.05/4,057.59
  6. Step 6: Final answer
    x = 2,383.37

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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.