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Finding the Fourth Proportional to 3,296.50, 4,944.44 and 957.12

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Solution

The fourth proportional to 3,296.50, 4,944.44 and 957.12 is: 1,435.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.50 : 4,944.44 = 957.12 : x
  2. Step 2: Convert to fraction form
    3,296.50/4,944.44 = 957.12/x
  3. Step 3: Cross multiply
    3,296.50x = 4,944.44 × 957.12
  4. Step 4: Simplify right side
    3,296.50x = 4,732,406.26
  5. Step 5: Solve for x
    x = 4,732,406.26/3,296.50
  6. Step 6: Final answer
    x = 1,435.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.