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Finding the Fourth Proportional to 3,882.81, 5,827.23 and 1,805.16

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Solution

The fourth proportional to 3,882.81, 5,827.23 and 1,805.16 is: 2,709.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.81 : 5,827.23 = 1,805.16 : x
  2. Step 2: Convert to fraction form
    3,882.81/5,827.23 = 1,805.16/x
  3. Step 3: Cross multiply
    3,882.81x = 5,827.23 × 1,805.16
  4. Step 4: Simplify right side
    3,882.81x = 10,519,082.51
  5. Step 5: Solve for x
    x = 10,519,082.51/3,882.81
  6. Step 6: Final answer
    x = 2,709.14

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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.