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Finding the Fourth Proportional to 5,446.40, 8,150.70 and 3,256.70

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Solution

The fourth proportional to 5,446.40, 8,150.70 and 3,256.70 is: 4,873.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.40 : 8,150.70 = 3,256.70 : x
  2. Step 2: Convert to fraction form
    5,446.40/8,150.70 = 3,256.70/x
  3. Step 3: Cross multiply
    5,446.40x = 8,150.70 × 3,256.70
  4. Step 4: Simplify right side
    5,446.40x = 26,544,384.69
  5. Step 5: Solve for x
    x = 26,544,384.69/5,446.40
  6. Step 6: Final answer
    x = 4,873.75

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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.