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Finding the Fourth Proportional to 3,459, 4,773.42 and 2,217

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Solution

The fourth proportional to 3,459, 4,773.42 and 2,217 is: 3,059.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459 : 4,773.42 = 2,217 : x
  2. Step 2: Convert to fraction form
    3,459/4,773.42 = 2,217/x
  3. Step 3: Cross multiply
    3,459x = 4,773.42 × 2,217
  4. Step 4: Simplify right side
    3,459x = 10,582,672.14
  5. Step 5: Solve for x
    x = 10,582,672.14/3,459
  6. Step 6: Final answer
    x = 3,059.46

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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.