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Finding the Fourth Proportional to 3,682.84, 5,082.28 and 2,004.28

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Solution

The fourth proportional to 3,682.84, 5,082.28 and 2,004.28 is: 2,765.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.84 : 5,082.28 = 2,004.28 : x
  2. Step 2: Convert to fraction form
    3,682.84/5,082.28 = 2,004.28/x
  3. Step 3: Cross multiply
    3,682.84x = 5,082.28 × 2,004.28
  4. Step 4: Simplify right side
    3,682.84x = 10,186,312.16
  5. Step 5: Solve for x
    x = 10,186,312.16/3,682.84
  6. Step 6: Final answer
    x = 2,765.89

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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.