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Finding the Fourth Proportional to 3,537.92, 4,882.16 and 1,965.92

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Solution

The fourth proportional to 3,537.92, 4,882.16 and 1,965.92 is: 2,712.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.92 : 4,882.16 = 1,965.92 : x
  2. Step 2: Convert to fraction form
    3,537.92/4,882.16 = 1,965.92/x
  3. Step 3: Cross multiply
    3,537.92x = 4,882.16 × 1,965.92
  4. Step 4: Simplify right side
    3,537.92x = 9,597,935.99
  5. Step 5: Solve for x
    x = 9,597,935.99/3,537.92
  6. Step 6: Final answer
    x = 2,712.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.