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Finding the Fourth Proportional to 3,842.68, 5,774.96 and 1,896.24

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Solution

The fourth proportional to 3,842.68, 5,774.96 and 1,896.24 is: 2,849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.68 : 5,774.96 = 1,896.24 : x
  2. Step 2: Convert to fraction form
    3,842.68/5,774.96 = 1,896.24/x
  3. Step 3: Cross multiply
    3,842.68x = 5,774.96 × 1,896.24
  4. Step 4: Simplify right side
    3,842.68x = 10,950,710.15
  5. Step 5: Solve for x
    x = 10,950,710.15/3,842.68
  6. Step 6: Final answer
    x = 2,849.76

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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.