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Finding the Fourth Proportional to 3,882.87, 5,835.24 and 3,784.46

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Solution

The fourth proportional to 3,882.87, 5,835.24 and 3,784.46 is: 5,687.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.87 : 5,835.24 = 3,784.46 : x
  2. Step 2: Convert to fraction form
    3,882.87/5,835.24 = 3,784.46/x
  3. Step 3: Cross multiply
    3,882.87x = 5,835.24 × 3,784.46
  4. Step 4: Simplify right side
    3,882.87x = 22,083,203.19
  5. Step 5: Solve for x
    x = 22,083,203.19/3,882.87
  6. Step 6: Final answer
    x = 5,687.34

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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.