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Finding the Fourth Proportional to 3,236.34, 4,856.49 and 1,288.71

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Solution

The fourth proportional to 3,236.34, 4,856.49 and 1,288.71 is: 1,933.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,236.34 : 4,856.49 = 1,288.71 : x
  2. Step 2: Convert to fraction form
    3,236.34/4,856.49 = 1,288.71/x
  3. Step 3: Cross multiply
    3,236.34x = 4,856.49 × 1,288.71
  4. Step 4: Simplify right side
    3,236.34x = 6,258,607.23
  5. Step 5: Solve for x
    x = 6,258,607.23/3,236.34
  6. Step 6: Final answer
    x = 1,933.85

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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.