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Finding the Fourth Proportional to 5,786.16, 7,984.02 and 3,395.22

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Solution

The fourth proportional to 5,786.16, 7,984.02 and 3,395.22 is: 4,684.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.16 : 7,984.02 = 3,395.22 : x
  2. Step 2: Convert to fraction form
    5,786.16/7,984.02 = 3,395.22/x
  3. Step 3: Cross multiply
    5,786.16x = 7,984.02 × 3,395.22
  4. Step 4: Simplify right side
    5,786.16x = 27,107,504.38
  5. Step 5: Solve for x
    x = 27,107,504.38/5,786.16
  6. Step 6: Final answer
    x = 4,684.89

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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.