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Finding the Fourth Proportional to 5,703.92, 8,548.81 and 3,231.24

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Solution

The fourth proportional to 5,703.92, 8,548.81 and 3,231.24 is: 4,842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.92 : 8,548.81 = 3,231.24 : x
  2. Step 2: Convert to fraction form
    5,703.92/8,548.81 = 3,231.24/x
  3. Step 3: Cross multiply
    5,703.92x = 8,548.81 × 3,231.24
  4. Step 4: Simplify right side
    5,703.92x = 27,623,248.75
  5. Step 5: Solve for x
    x = 27,623,248.75/5,703.92
  6. Step 6: Final answer
    x = 4,842.86

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1.5x scale

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.