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Finding the Fourth Proportional to 4,722.84, 7,082.82 and 3,796.20

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Solution

The fourth proportional to 4,722.84, 7,082.82 and 3,796.20 is: 5,693.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722.84 : 7,082.82 = 3,796.20 : x
  2. Step 2: Convert to fraction form
    4,722.84/7,082.82 = 3,796.20/x
  3. Step 3: Cross multiply
    4,722.84x = 7,082.82 × 3,796.20
  4. Step 4: Simplify right side
    4,722.84x = 26,887,801.28
  5. Step 5: Solve for x
    x = 26,887,801.28/4,722.84
  6. Step 6: Final answer
    x = 5,693.14

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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.