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Finding the Fourth Proportional to 3,238.66, 4,856.64 and 1,016.75

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Solution

The fourth proportional to 3,238.66, 4,856.64 and 1,016.75 is: 1,524.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.66 : 4,856.64 = 1,016.75 : x
  2. Step 2: Convert to fraction form
    3,238.66/4,856.64 = 1,016.75/x
  3. Step 3: Cross multiply
    3,238.66x = 4,856.64 × 1,016.75
  4. Step 4: Simplify right side
    3,238.66x = 4,937,964.44
  5. Step 5: Solve for x
    x = 4,937,964.44/3,238.66
  6. Step 6: Final answer
    x = 1,524.70

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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.