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Finding the Fourth Proportional to 6,054, 9,082.28 and 2,406

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Solution

The fourth proportional to 6,054, 9,082.28 and 2,406 is: 3,609.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,054 : 9,082.28 = 2,406 : x
  2. Step 2: Convert to fraction form
    6,054/9,082.28 = 2,406/x
  3. Step 3: Cross multiply
    6,054x = 9,082.28 × 2,406
  4. Step 4: Simplify right side
    6,054x = 21,851,965.68
  5. Step 5: Solve for x
    x = 21,851,965.68/6,054
  6. Step 6: Final answer
    x = 3,609.51

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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.