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Finding the Fourth Proportional to 4,744.92, 7,109.64 and 3,967.32

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Solution

The fourth proportional to 4,744.92, 7,109.64 and 3,967.32 is: 5,944.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.92 : 7,109.64 = 3,967.32 : x
  2. Step 2: Convert to fraction form
    4,744.92/7,109.64 = 3,967.32/x
  3. Step 3: Cross multiply
    4,744.92x = 7,109.64 × 3,967.32
  4. Step 4: Simplify right side
    4,744.92x = 28,206,216.96
  5. Step 5: Solve for x
    x = 28,206,216.96/4,744.92
  6. Step 6: Final answer
    x = 5,944.51

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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.