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Finding the Fourth Proportional to 3,836.92, 5,753.95 and 2,277.26

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Solution

The fourth proportional to 3,836.92, 5,753.95 and 2,277.26 is: 3,415.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.92 : 5,753.95 = 2,277.26 : x
  2. Step 2: Convert to fraction form
    3,836.92/5,753.95 = 2,277.26/x
  3. Step 3: Cross multiply
    3,836.92x = 5,753.95 × 2,277.26
  4. Step 4: Simplify right side
    3,836.92x = 13,103,240.18
  5. Step 5: Solve for x
    x = 13,103,240.18/3,836.92
  6. Step 6: Final answer
    x = 3,415.04

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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.