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Finding the Fourth Proportional to 3,842.56, 5,758.43 and 3,059.08

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Solution

The fourth proportional to 3,842.56, 5,758.43 and 3,059.08 is: 4,584.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.56 : 5,758.43 = 3,059.08 : x
  2. Step 2: Convert to fraction form
    3,842.56/5,758.43 = 3,059.08/x
  3. Step 3: Cross multiply
    3,842.56x = 5,758.43 × 3,059.08
  4. Step 4: Simplify right side
    3,842.56x = 17,615,498.04
  5. Step 5: Solve for x
    x = 17,615,498.04/3,842.56
  6. Step 6: Final answer
    x = 4,584.31

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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.