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Finding the Fourth Proportional to 3,496, 4,825.56 and 2,254

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Solution

The fourth proportional to 3,496, 4,825.56 and 2,254 is: 3,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496 : 4,825.56 = 2,254 : x
  2. Step 2: Convert to fraction form
    3,496/4,825.56 = 2,254/x
  3. Step 3: Cross multiply
    3,496x = 4,825.56 × 2,254
  4. Step 4: Simplify right side
    3,496x = 10,876,812.24
  5. Step 5: Solve for x
    x = 10,876,812.24/3,496
  6. Step 6: Final answer
    x = 3,111.22

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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.