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Finding the Fourth Proportional to 3,782.41, 5,669.47 and 3,232.92

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Solution

The fourth proportional to 3,782.41, 5,669.47 and 3,232.92 is: 4,845.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.41 : 5,669.47 = 3,232.92 : x
  2. Step 2: Convert to fraction form
    3,782.41/5,669.47 = 3,232.92/x
  3. Step 3: Cross multiply
    3,782.41x = 5,669.47 × 3,232.92
  4. Step 4: Simplify right side
    3,782.41x = 18,328,942.95
  5. Step 5: Solve for x
    x = 18,328,942.95/3,782.41
  6. Step 6: Final answer
    x = 4,845.84

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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.