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Finding the Fourth Proportional to 4,880, 6,732.56 and 3,202.33

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Solution

The fourth proportional to 4,880, 6,732.56 and 3,202.33 is: 4,418.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,880 : 6,732.56 = 3,202.33 : x
  2. Step 2: Convert to fraction form
    4,880/6,732.56 = 3,202.33/x
  3. Step 3: Cross multiply
    4,880x = 6,732.56 × 3,202.33
  4. Step 4: Simplify right side
    4,880x = 21,559,878.86
  5. Step 5: Solve for x
    x = 21,559,878.86/4,880
  6. Step 6: Final answer
    x = 4,418.01

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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.