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Finding the Fourth Proportional to 5,065.48, 7,578.24 and 3,836.44

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Solution

The fourth proportional to 5,065.48, 7,578.24 and 3,836.44 is: 5,739.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.48 : 7,578.24 = 3,836.44 : x
  2. Step 2: Convert to fraction form
    5,065.48/7,578.24 = 3,836.44/x
  3. Step 3: Cross multiply
    5,065.48x = 7,578.24 × 3,836.44
  4. Step 4: Simplify right side
    5,065.48x = 29,073,463.07
  5. Step 5: Solve for x
    x = 29,073,463.07/5,065.48
  6. Step 6: Final answer
    x = 5,739.53

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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.