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Finding the Fourth Proportional to 3,236.58, 4,856.58 and 1,288.80

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Solution

The fourth proportional to 3,236.58, 4,856.58 and 1,288.80 is: 1,933.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,236.58 : 4,856.58 = 1,288.80 : x
  2. Step 2: Convert to fraction form
    3,236.58/4,856.58 = 1,288.80/x
  3. Step 3: Cross multiply
    3,236.58x = 4,856.58 × 1,288.80
  4. Step 4: Simplify right side
    3,236.58x = 6,259,160.30
  5. Step 5: Solve for x
    x = 6,259,160.30/3,236.58
  6. Step 6: Final answer
    x = 1,933.88

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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.