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Finding the Fourth Proportional to 5,182.33, 7,770.75 and 3,799.05

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Solution

The fourth proportional to 5,182.33, 7,770.75 and 3,799.05 is: 5,696.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.33 : 7,770.75 = 3,799.05 : x
  2. Step 2: Convert to fraction form
    5,182.33/7,770.75 = 3,799.05/x
  3. Step 3: Cross multiply
    5,182.33x = 7,770.75 × 3,799.05
  4. Step 4: Simplify right side
    5,182.33x = 29,521,467.79
  5. Step 5: Solve for x
    x = 29,521,467.79/5,182.33
  6. Step 6: Final answer
    x = 5,696.56

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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.