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Finding the Fourth Proportional to 5,735.31, 7,914.61 and 3,217.42

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Solution

The fourth proportional to 5,735.31, 7,914.61 and 3,217.42 is: 4,439.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.31 : 7,914.61 = 3,217.42 : x
  2. Step 2: Convert to fraction form
    5,735.31/7,914.61 = 3,217.42/x
  3. Step 3: Cross multiply
    5,735.31x = 7,914.61 × 3,217.42
  4. Step 4: Simplify right side
    5,735.31x = 25,464,624.51
  5. Step 5: Solve for x
    x = 25,464,624.51/5,735.31
  6. Step 6: Final answer
    x = 4,439.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.