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Finding the Fourth Proportional to 4,272, 5,895.46 and 2,409

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Solution

The fourth proportional to 4,272, 5,895.46 and 2,409 is: 3,324.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272 : 5,895.46 = 2,409 : x
  2. Step 2: Convert to fraction form
    4,272/5,895.46 = 2,409/x
  3. Step 3: Cross multiply
    4,272x = 5,895.46 × 2,409
  4. Step 4: Simplify right side
    4,272x = 14,202,163.14
  5. Step 5: Solve for x
    x = 14,202,163.14/4,272
  6. Step 6: Final answer
    x = 3,324.48

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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.