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Finding the Fourth Proportional to 5,487.92, 8,231.84 and 4,664.24

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Solution

The fourth proportional to 5,487.92, 8,231.84 and 4,664.24 is: 6,996.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.92 : 8,231.84 = 4,664.24 : x
  2. Step 2: Convert to fraction form
    5,487.92/8,231.84 = 4,664.24/x
  3. Step 3: Cross multiply
    5,487.92x = 8,231.84 × 4,664.24
  4. Step 4: Simplify right side
    5,487.92x = 38,395,277.40
  5. Step 5: Solve for x
    x = 38,395,277.40/5,487.92
  6. Step 6: Final answer
    x = 6,996.33

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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.