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Finding the Fourth Proportional to 5,777.24, 7,969.77 and 3,786.92

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Solution

The fourth proportional to 5,777.24, 7,969.77 and 3,786.92 is: 5,224.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.24 : 7,969.77 = 3,786.92 : x
  2. Step 2: Convert to fraction form
    5,777.24/7,969.77 = 3,786.92/x
  3. Step 3: Cross multiply
    5,777.24x = 7,969.77 × 3,786.92
  4. Step 4: Simplify right side
    5,777.24x = 30,180,881.41
  5. Step 5: Solve for x
    x = 30,180,881.41/5,777.24
  6. Step 6: Final answer
    x = 5,224.10

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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.