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Finding the Fourth Proportional to 3,546.59, 5,319.86 and 1,238.09

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Solution

The fourth proportional to 3,546.59, 5,319.86 and 1,238.09 is: 1,857.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.59 : 5,319.86 = 1,238.09 : x
  2. Step 2: Convert to fraction form
    3,546.59/5,319.86 = 1,238.09/x
  3. Step 3: Cross multiply
    3,546.59x = 5,319.86 × 1,238.09
  4. Step 4: Simplify right side
    3,546.59x = 6,586,432.68
  5. Step 5: Solve for x
    x = 6,586,432.68/3,546.59
  6. Step 6: Final answer
    x = 1,857.12

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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.