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Finding the Fourth Proportional to 4,496.10, 6,202.92 and 4,489.17

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Solution

The fourth proportional to 4,496.10, 6,202.92 and 4,489.17 is: 6,193.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.10 : 6,202.92 = 4,489.17 : x
  2. Step 2: Convert to fraction form
    4,496.10/6,202.92 = 4,489.17/x
  3. Step 3: Cross multiply
    4,496.10x = 6,202.92 × 4,489.17
  4. Step 4: Simplify right side
    4,496.10x = 27,845,962.38
  5. Step 5: Solve for x
    x = 27,845,962.38/4,496.10
  6. Step 6: Final answer
    x = 6,193.36

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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.