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Finding the Fourth Proportional to 4,494, 6,202.36 and 4,297.20

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Solution

The fourth proportional to 4,494, 6,202.36 and 4,297.20 is: 5,930.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494 : 6,202.36 = 4,297.20 : x
  2. Step 2: Convert to fraction form
    4,494/6,202.36 = 4,297.20/x
  3. Step 3: Cross multiply
    4,494x = 6,202.36 × 4,297.20
  4. Step 4: Simplify right side
    4,494x = 26,652,781.39
  5. Step 5: Solve for x
    x = 26,652,781.39/4,494
  6. Step 6: Final answer
    x = 5,930.75

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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.