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Finding the Fourth Proportional to 5,786.33, 7,990.11 and 5,491.08

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Solution

The fourth proportional to 5,786.33, 7,990.11 and 5,491.08 is: 7,582.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.33 : 7,990.11 = 5,491.08 : x
  2. Step 2: Convert to fraction form
    5,786.33/7,990.11 = 5,491.08/x
  3. Step 3: Cross multiply
    5,786.33x = 7,990.11 × 5,491.08
  4. Step 4: Simplify right side
    5,786.33x = 43,874,333.22
  5. Step 5: Solve for x
    x = 43,874,333.22/5,786.33
  6. Step 6: Final answer
    x = 7,582.42

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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.